-
2
-
-
84980073518
-
Multiple layer potentials and the Dirichlet problem for higher order elliptic equations in the plane. I
-
S. Agmon, Multiple layer potentials and the Dirichlet problem for higher order elliptic equations in the plane. I, Comm. Pure Appl. Math. 10 (1957) 179-239.
-
(1957)
Comm. Pure Appl. Math.
, vol.10
, pp. 179-239
-
-
Agmon, S.1
-
3
-
-
0000049356
-
papproach to the Dirichlet problem. I. Regularity theorems
-
papproach to the Dirichlet problem. I. Regularity theorems, Ann. Scuola Norm. Sup. Pisa (3) 13 (1959) 405-448.
-
(1959)
Ann. Scuola Norm. Sup. Pisa (3)
, vol.13
, pp. 405-448
-
-
Agmon, S.1
-
4
-
-
84980080664
-
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II
-
S. Agmon, A. Douglis and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II, Comm. Pure Appl. Math. 17 (1964) 35-92.
-
(1964)
Comm. Pure Appl. Math.
, vol.17
, pp. 35-92
-
-
Agmon, S.1
Douglis, A.2
Nirenberg, L.3
-
5
-
-
0041733807
-
Observations on estimates for divergence elliptic equations with VMO coefficients
-
P. Auscher and M. Qafsaoui, Observations on estimates for divergence elliptic equations with VMO coefficients, Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 5 (2002) 487-509.
-
(2002)
Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat.
, vol.5
, Issue.8
, pp. 487-509
-
-
Auscher, P.1
Qafsaoui, M.2
-
7
-
-
0039382711
-
The Dirichlet problem for linear elliptic equations of arbitrary even order with variable coefficients
-
F. E. Browder, The Dirichlet problem for linear elliptic equations of arbitrary even order with variable coefficients, Proc. Nat. Acad. Sci. U. S. A. 38 (1952) 230-235.
-
(1952)
Proc. Nat. Acad. Sci. U.S.A.
, vol.38
, pp. 230-235
-
-
Browder, F.E.1
-
9
-
-
14844329076
-
Elliptic equations with BMO coefficients in Lipschitz domains
-
S. Byun, Elliptic equations with BMO coefficients in Lipschitz domains, Trans. Amer. Math. Soc. 357 (2005) 1025-1046.
-
(2005)
Trans. Amer. Math. Soc.
, vol.357
, pp. 1025-1046
-
-
Byun, S.1
-
10
-
-
0041125729
-
On estimates for elliptic equations in divergence form
-
L. A. Caffarelli and I. Peral, On estimates for elliptic equations in divergence form, Comm. Pure Appl. Math. 51 (1998) 1-21.
-
(1998)
Comm. Pure Appl. Math.
, vol.51
, pp. 1-21
-
-
Caffarelli, L.A.1
Peral, I.2
-
11
-
-
0001569352
-
Solvability of the Dirichlet problem for nondivergence elliptic equations with VMO coefficients
-
F. Chiarenza, M. Frasca and P. Longo, Solvability of the Dirichlet problem for nondivergence elliptic equations with VMO coefficients, Trans. Amer. Math. Soc. 336 (1993) 841-853.
-
(1993)
Trans. Amer. Math. Soc.
, vol.336
, pp. 841-853
-
-
Chiarenza, F.1
Frasca, M.2
Longo, P.3
-
12
-
-
0000278701
-
Factorization theorems for Hardy spaces in several variables
-
R. Coifman, R. Rochberg and G. Weiss, Factorization theorems for Hardy spaces in several variables, Ann. of Math. (2) 103 (1976) 611-635.
-
(1976)
Ann. Of Math.
, vol.103
, Issue.2
, pp. 611-635
-
-
Coifman, R.1
Rochberg, R.2
Weiss, G.3
-
13
-
-
84968508625
-
Poisson semigroups and singular integrals
-
B. E. Dahlberg, Poisson semigroups and singular integrals, Proc. Amer. Math. Soc. 97 (1986) 41-48.
-
(1986)
Proc. Amer. Math. Soc.
, vol.97
, pp. 41-48
-
-
Dahlberg, B.E.1
-
14
-
-
0000225785
-
pfor Laplace's equation in Lipschitz domains
-
pfor Laplace's equation in Lipschitz domains, Ann. of Math. (2) 125 (1987) 437-465.
-
(1987)
Ann. Of Math.
, vol.125
, Issue.2
, pp. 437-465
-
-
Dahlberg, B.E.1
Kenig, C.E.2
-
15
-
-
0031329387
-
Area integral estimates for higher order elliptic equations and systems
-
B. E. Dahlberg, C. E. Kenig, J. Pipher and G. C. Verchota, Area integral estimates for higher order elliptic equations and systems, Ann. Inst. Fourier (Grenoble) 47 (1997) 1425-1461.
-
(1997)
Ann. Inst. Fourier (Grenoble)
, vol.47
, pp. 1425-1461
-
-
Dahlberg, B.E.1
Kenig, C.E.2
Pipher, J.3
Verchota, G.C.4
-
16
-
-
0000657529
-
Un esempio di estremali discontinue per un problema variazionale di tipo ellittico
-
E. De Giorgi, Un esempio di estremali discontinue per un problema variazionale di tipo ellittico, Boll. Un. Mat. Ital. (4) 1 (1968) 135-137.
-
(1968)
Boll. Un. Mat. Ital.
, vol.1
, Issue.4
, pp. 135-137
-
-
de Giorgi, E.1
-
17
-
-
1542782912
-
Estimates for divergence form elliptic equations with discontinuous coefficients
-
G. Di Fazio, Estimates for divergence form elliptic equations with discontinuous coefficients, Boll. Un. Mat. Ital. A (7) 10 (1996) 409-420.
-
(1996)
Boll. Un. Mat. Ital. A
, vol.10
, Issue.7
, pp. 409-420
-
-
Di Fazio, G.1
-
18
-
-
21344449558
-
A sharp form of Whitney's extension theorem
-
C. Fefferman, A sharp form of Whitney's extension theorem, Ann. of Math. (2) 161 (2005) 509-577.
-
(2005)
Ann. Of Math.
, vol.161
, Issue.2
, pp. 509-577
-
-
Fefferman, C.1
-
20
-
-
0001238431
-
Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in n variabili
-
E. Gagliardo, Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in n variabili, Rend. Sem. Mat. Univ. Padova 27 (1957) 284-305.
-
(1957)
Rend. Sem. Mat. Univ. Padova
, vol.27
, pp. 284-305
-
-
Gagliardo, E.1
-
21
-
-
0010601152
-
Dirichlet's problem for linear elliptic partial differential equations
-
L. Gårding, Dirichlet's problem for linear elliptic partial differential equations, Math. Scand. 1 (1953) 55-72.
-
(1953)
Math. Scand.
, vol.1
, pp. 55-72
-
-
Gårding, L.1
-
24
-
-
0000824799
-
Spectral synthesis in Sobolev spaces, and uniqueness of solutions of the Dirichlet problem
-
L. I. Hedberg, Spectral synthesis in Sobolev spaces, and uniqueness of solutions of the Dirichlet problem, Acta Math. 147 (1981) 237-264.
-
(1981)
Acta Math.
, vol.147
, pp. 237-264
-
-
Hedberg, L.I.1
-
25
-
-
77951816268
-
-
Wadsworth, Belmont, CA
-
L. I. Hedberg, On the Dirichlet problem for higher-order equations, in Conference on Harmonic Analysis in Honor of Antoni Zygmund, Wadsworth, Belmont, CA, 1983, pp. 620-633.
-
(1983)
On the Dirichlet problem for higher-order equations, in Conference on Harmonic Analysis in Honor of Antoni Zygmund
, pp. 620-633
-
-
Hedberg, L.I.1
-
26
-
-
0030496385
-
2solvability and representation by caloric layer potentials in time-varying domains
-
2solvability and representation by caloric layer potentials in time-varying domains, Ann. of Math. (2) 144 (1996) 349-420.
-
(1996)
Ann. Of Math.
, vol.144
, Issue.2
, pp. 349-420
-
-
Hofmann, S.1
Lewis, J.L.2
-
28
-
-
0032425244
-
Riesz transforms and elliptic PDEs with VMO coefficients
-
T. Iwaniec and C. Sbordone, Riesz transforms and elliptic PDEs with VMO coefficients, J. Analyse Math. 74 (1998) 183-212.
-
(1998)
J. Analyse Math.
, vol.74
, pp. 183-212
-
-
Iwaniec, T.1
Sbordone, C.2
-
29
-
-
0000271720
-
The inhomogeneous Dirichlet problem in Lipschitz domains
-
D. Jerison and C. Kenig, The inhomogeneous Dirichlet problem in Lipschitz domains, J. Funct. Anal. 130 (1995) 161-219.
-
(1995)
J. Funct. Anal.
, vol.130
, pp. 161-219
-
-
Jerison, D.1
Kenig, C.2
-
32
-
-
24944436803
-
Asymptotic formula for solutions to elliptic equations near Lipschitz boundary
-
V. Kozlov and V. Maz'ya, Asymptotic formula for solutions to elliptic equations near Lipschitz boundary, Ann. Mat. Pura Appl. 184 (2005) 185-213.
-
(2005)
Ann. Mat. Pura Appl.
, vol.184
, pp. 185-213
-
-
Kozlov, V.1
Maz'ya, V.2
-
33
-
-
0003619321
-
-
Providence, RI: Amer. Math. Soc
-
V. A. Kozlov, V. G. Maz'ya and J. Rossmann, Elliptic Boundary Value Problems in Domains with Point Singularities, Amer. Math. Soc., Providence, RI, 1997.
-
(1997)
Elliptic Boundary Value Problems in Domains with Point Singularities
-
-
Kozlov, V.A.1
Maz'ya, V.G.2
Rossmann, J.3
-
34
-
-
0003405151
-
-
Providence, RI: Amer. Math. Soc
-
V. A. Kozlov, V. G. Maz'ya and J. Rossmann, Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations, Amer. Math. Soc., Providence, RI, 2001.
-
(2001)
Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations
-
-
Kozlov, V.A.1
Maz'ya, V.G.2
Rossmann, J.3
-
36
-
-
34250508156
-
Examples of nonregular solutions of quasilinear elliptic equations with analytic coefficients
-
V. Maz'ya, Examples of nonregular solutions of quasilinear elliptic equations with analytic coefficients, Funkcional. Anal. i Prilozen. 2 (1968) 53-57; translated in Funct. Anal. Appl. 2 (1968) 230-234.
-
(1968)
Funkcional. Anal. I Prilozen.
, vol.2
, pp. 53-57
-
-
Maz'ya, V.1
-
37
-
-
0003796632
-
-
Berlin: Springer-Verlag
-
V. Maz'ya, Sobolev Spaces, Springer-Verlag, Berlin, 1985.
-
(1985)
Sobolev Spaces
-
-
Maz'ya, V.1
-
38
-
-
0036925940
-
The Wiener test for higher order elliptic equations
-
V. Maz'ya, The Wiener test for higher order elliptic equations, Duke Math. J. 115 (2002) 479-512.
-
(2002)
Duke Math. J.
, vol.115
, pp. 479-512
-
-
Maz'ya, V.1
-
40
-
-
84871143448
-
p-theory of elliptic boundary value problems. I. Partial differential equations
-
Novosibirsk: Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat, No. 2
-
p-theory of elliptic boundary value problems. I. Partial differential equations, Trudy Sem. S. L. Soboleva, No. 2, 80, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1980, pp. 39-56.
-
(1980)
Trudy Sem. S. L. Soboleva
, pp. 80
-
-
Maz'ya, V.1
Shaposhnikova, T.2
-
41
-
-
17244362427
-
Higher regularity in the classical layer potential theory for Lipschitz domains
-
V. Maz'ya and T. Shaposhnikova, Higher regularity in the classical layer potential theory for Lipschitz domains, Indiana Univ. Math. J. 54 (2005) 99-142.
-
(2005)
Indiana Univ. Math. J.
, vol.54
, pp. 99-142
-
-
Maz'ya, V.1
Shaposhnikova, T.2
-
42
-
-
0001253780
-
An estimate for the gradient of solutions of second order elliptic divergence equations
-
N. G. Meyers, An estimate for the gradient of solutions of second order elliptic divergence equations, Ann. Scuola Norm. Sup. Pisa (3) 17 (1963) 189-206.
-
(1963)
Ann. Scuola Norm. Sup. Pisa
, vol.17
, Issue.3
, pp. 189-206
-
-
Meyers, N.G.1
-
43
-
-
0003890212
-
-
Paris: Masson et Cie, Éditeurs
-
J. Nečas, Les Méthodes Directes en Théorie des Équations Elliptiques, Masson et Cie, Éditeurs, Paris, Academia, Éditeurs, Prague, 1967.
-
(1967)
Les Méthodes Directes En Théorie Des Équations Elliptiques
-
-
Nečas, J.1
-
45
-
-
0002693554
-
Dilation invariant estimates and the boundary Gårding inequality for higher order elliptic operators
-
J. Pipher and G. C. Verchota, Dilation invariant estimates and the boundary Gårding inequality for higher order elliptic operators, Ann. of Math. (2) 142 (1995) 1-38.
-
(1995)
Ann. Of Math.
, vol.142
, Issue.2
, pp. 1-38
-
-
Pipher, J.1
Verchota, G.C.2
-
46
-
-
84946916764
-
Functions of vanishing mean oscillation
-
D. Sarason, Functions of vanishing mean oscillation, Trans. Amer. Math. Soc. 207 (1975) 391-405.
-
(1975)
Trans. Amer. Math. Soc.
, vol.207
, pp. 391-405
-
-
Sarason, D.1
-
47
-
-
33748865568
-
pDirichlet problem on Lipschitz domains
-
pDirichlet problem on Lipschitz domains, Math. Ann. 336 (2006) 697-725.
-
(2006)
Math. Ann.
, vol.336
, pp. 697-725
-
-
Shen, Z.1
-
48
-
-
0000212027
-
Spectral properties of linear operators in interpolation families of Banach spaces
-
I. Ya. Šneiberg, Spectral properties of linear operators in interpolation families of Banach spaces, Mat. Issled. 9 (1974) 214-229.
-
(1974)
Mat. Issled.
, vol.9
, pp. 214-229
-
-
Šneiberg, I.Y.1
-
49
-
-
0038868669
-
On a boundary value problem for the polyharmonic equations
-
S. L. Sobolev, On a boundary value problem for the polyharmonic equations, Mat. Sb. 2 (1937) 467-499.
-
(1937)
Mat. Sb.
, vol.2
, pp. 467-499
-
-
Sobolev, S.L.1
-
51
-
-
0011573394
-
General boundary value problems for systems elliptic in the sense of A. Douglis and L. Nirenberg. I
-
V. A. Solonnikov, General boundary value problems for systems elliptic in the sense of A. Douglis and L. Nirenberg. I, Izv. Akad. Nauk SSSR, Ser. Mat. 28 (1964) 665-706.
-
(1964)
Izv. Akad. Nauk SSSR, Ser. Mat.
, vol.28
, pp. 665-706
-
-
Solonnikov, V.A.1
-
52
-
-
0038196256
-
General boundary value problems for systems elliptic in the sense of A. Douglis and L. Nirenberg. II
-
V. A. Solonnikov, General boundary value problems for systems elliptic in the sense of A. Douglis and L. Nirenberg. II, Trudy Mat. Inst. Steklov 92 (1966) 233-297.
-
(1966)
Trudy Mat. Inst. Steklov
, vol.92
, pp. 233-297
-
-
Solonnikov, V.A.1
-
55
-
-
0011290957
-
Imbedding theorems for classes with weights
-
S. V. Uspenskiǐ, Imbedding theorems for classes with weights, Trudy Mat. Inst. Steklov. 60 (1961) 282-303.
-
(1961)
Trudy Mat. Inst. Steklov.
, vol.60
, pp. 282-303
-
-
Uspenskiǐ, S.V.1
-
56
-
-
0010664779
-
The Dirichlet problem for the polyharmonic equation in Lipschitz domains
-
G. C. Verchota, The Dirichlet problem for the polyharmonic equation in Lipschitz domains, Indiana Univ. Math. J. 39 (1990) 671-702.
-
(1990)
Indiana Univ. Math. J.
, vol.39
, pp. 671-702
-
-
Verchota, G.C.1
-
57
-
-
27644510133
-
The biharmonic Neumann problem in Lipschitz domains
-
G. C. Verchota, The biharmonic Neumann problem in Lipschitz domains, Acta Math. 194 (2005) 217-279.
-
(2005)
Acta Math.
, vol.194
, pp. 217-279
-
-
Verchota, G.C.1
-
58
-
-
0006704398
-
On strongly elliptic systems of differential equations
-
M. I. Višik, On strongly elliptic systems of differential equations, Mat. Sbornik N. S. 29 (1951) 615-676.
-
(1951)
Mat. Sbornik N.S.
, vol.29
, pp. 615-676
-
-
Višik, M.I.1
-
59
-
-
77956456169
-
Analytic extensions of differentiable functions defined in closed sets
-
H. Whitney, Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc. 36 (1934) 63-89.
-
(1934)
Trans. Amer. Math. Soc.
, vol.36
, pp. 63-89
-
-
Whitney, H.1
-
60
-
-
0001721101
-
Functions differentiable on the boundaries of regions
-
H. Whitney, Functions differentiable on the boundaries of regions, Ann. of Math. (2) 35 (1934) 482-485.
-
(1934)
Ann. Of Math.
, vol.35
, Issue.2
, pp. 482-485
-
-
Whitney, H.1
|