-
1
-
-
34249955899
-
A non convex variational problem related to change of phase
-
Bauman, P., Phillips, D.: A non convex variational problem related to change of phase. Appl. Math. Optim. 21, 113-138 (1990)
-
(1990)
Appl. Math. Optim.
, vol.21
, pp. 113-138
-
-
Bauman, P.1
Phillips, D.2
-
2
-
-
0042044425
-
Existence and regularity of minimizers of non convex functional depending on u and ∇u
-
Celada, P.: Existence and regularity of minimizers of non convex functional depending on u and ∇u. J. Math. Anal. Appl. 230, 30-56 (1999)
-
(1999)
J. Math. Anal. Appl.
, vol.230
, pp. 30-56
-
-
Celada, P.1
-
3
-
-
0032443214
-
Existence and non existence of solutions to a variational problem on a square
-
Celada, P., Cellina, A.: Existence and non existence of solutions to a variational problem on a square. Houston J. Math. 24, 345-375 (1998)
-
(1998)
Houston J. Math.
, vol.24
, pp. 345-375
-
-
Celada, P.1
Cellina, A.2
-
4
-
-
23044520958
-
Minimizing non convex, multiple integrals: A density result
-
Celada, P., Perrotta, S.: Minimizing non convex, multiple integrals: a density result. Proc. Roy. Soc. Edinburgh 130A, 721-741 (2000)
-
(2000)
Proc. Roy. Soc. Edinburgh
, vol.130 A
, pp. 721-741
-
-
Celada, P.1
Perrotta, S.2
-
5
-
-
0035917080
-
Minimizing nonconvex, simple integrals of product type
-
Celada, P., Perrotta, S.: Minimizing nonconvex, simple integrals of product type. J. Differential Equations 171, 148-172 (2001)
-
(2001)
J. Differential Equations
, vol.171
, pp. 148-172
-
-
Celada, P.1
Perrotta, S.2
-
6
-
-
0347036822
-
On the minimum problem for nonconvex, multiple integrals of product type
-
Celada, P., Perrotta, S.: On the minimum problem for nonconvex, multiple integrals of product type. Calc. Var. Partial Differential Equations 12, 371-398 (2001)
-
(2001)
Calc. Var. Partial Differential Equations
, vol.12
, pp. 371-398
-
-
Celada, P.1
Perrotta, S.2
-
7
-
-
0041425267
-
Existence of minimizers for nonconvex, noncoercive simple integrals
-
Celada, P., Perrotta, S.: Existence of minimizers for nonconvex, noncoercive simple integrals. SIAM J. Control Optim. 41, 1118-1140 (2002)
-
(2002)
SIAM J. Control Optim.
, vol.41
, pp. 1118-1140
-
-
Celada, P.1
Perrotta, S.2
-
8
-
-
0032222402
-
Existence of solutions for a class of non convex minimum problems
-
Celada, P., Perrotta, S., Treu, G.: Existence of solutions for a class of non convex minimum problems. Math. Z. 228, 177-199 (1998)
-
(1998)
Math. Z.
, vol.228
, pp. 177-199
-
-
Celada, P.1
Perrotta, S.2
Treu, G.3
-
9
-
-
38249004838
-
On minima of a functional of the gradient: Necessary conditions
-
Cellina, A.: On minima of a functional of the gradient: necessary conditions. Nonlinear Anal. 20, 337-341 (1993)
-
(1993)
Nonlinear Anal.
, vol.20
, pp. 337-341
-
-
Cellina, A.1
-
10
-
-
38249005312
-
On minima of a functional of the gradient: Sufficient conditions
-
Cellina, A.: On minima of a functional of the gradient: sufficient conditions. Nonlinear Anal. 20, 343-347 (1993)
-
(1993)
Nonlinear Anal.
, vol.20
, pp. 343-347
-
-
Cellina, A.1
-
12
-
-
0000780871
-
On minima of radially symmetric functional of the gradient
-
Cellina, A., Perrotta, S.: On minima of radially symmetric functional of the gradient. Nonlinear Anal. 23 239-249 (1994)
-
(1994)
Nonlinear Anal.
, vol.23
, pp. 239-249
-
-
Cellina, A.1
Perrotta, S.2
-
13
-
-
85067946483
-
Direct methods in the calculus of variations
-
Springer, Berlin
-
Dacorogna, B.: Direct methods in the Calculus of Variations. Number 78 in Appl. Math. Sci. Springer, Berlin 1989
-
(1989)
Appl. Math. Sci.
, vol.78
-
-
Dacorogna, B.1
-
15
-
-
0011216933
-
On the Dirichlet problem for Hamilton-Jacobi equations. A Baire category approach
-
De Blasi, F.S., Pianigiani, G.: On the Dirichlet problem for Hamilton-Jacobi equations. A Baire category approach. NoDEA Nonlinear Differential Equations Appl. 6, 13-34 (1999)
-
(1999)
NoDEA Nonlinear Differential Equations Appl.
, vol.6
, pp. 13-34
-
-
De Blasi, F.S.1
Pianigiani, G.2
-
17
-
-
0036410695
-
An existence result for a nonconvex variational problem via regularity
-
Fonseca, I., Fusco, N., Marcellini, P.: An existence result for a nonconvex variational problem via regularity. ESAIM Control Optim. Calc. Var. 7, 69-95 (2002)
-
(2002)
ESAIM Control Optim. Calc. Var.
, vol.7
, pp. 69-95
-
-
Fonseca, I.1
Fusco, N.2
Marcellini, P.3
-
18
-
-
0020881931
-
Helical shear of an elastic, circular tube with a nonconvex stored energy
-
Fosdick, R.L., MacSithigh, G.: Helical shear of an elastic, circular tube with a nonconvex stored energy. Arch. Rational Mech. Anal. 84, 31-53 (1983)
-
(1983)
Arch. Rational Mech. Anal.
, vol.84
, pp. 31-53
-
-
Fosdick, R.L.1
MacSithigh, G.2
-
19
-
-
84973960437
-
A necessary and sufficient condition for nonattainment and formation of microstructure almost everywhere in scalar variational problems
-
Friesecke, G.: A necessary and sufficient condition for nonattainment and formation of microstructure almost everywhere in scalar variational problems. Proc. Roy. Soc. Edinburgh Sect. A 124, 437-471 (1994)
-
(1994)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.124
, pp. 437-471
-
-
Friesecke, G.1
-
20
-
-
0000602302
-
Existence of minimizers for some non convex one dimensional integrals
-
Fusco, N., Marcellini, P., Ornelas, A.: Existence of minimizers for some non convex one dimensional integrals. Portugal. Math. 55, 167-185 (1998)
-
(1998)
Portugal. Math.
, vol.55
, pp. 167-185
-
-
Fusco, N.1
Marcellini, P.2
Ornelas, A.3
-
21
-
-
0042154600
-
Minima of some nonconvex, noncoercive problems
-
Giachetti, D., Schianchi, R.: Minima of some nonconvex, noncoercive problems. Ann. Mat. Pura Appl. 165 (4), 109-120 (1993)
-
(1993)
Ann. Mat. Pura Appl.
, vol.165
, Issue.4
, pp. 109-120
-
-
Giachetti, D.1
Schianchi, R.2
-
22
-
-
0001812542
-
On the regularity of the minima of variational integrals
-
Giaquinta, M., Giusti, E.: On the regularity of the minima of variational integrals. Acta Math. 148, 31-46 (1982)
-
(1982)
Acta Math.
, vol.148
, pp. 31-46
-
-
Giaquinta, M.1
Giusti, E.2
-
23
-
-
0022766604
-
Numerical study of a relaxed variational problem from optimal design
-
Goodman, J., Kohn, R.V., Reyna, L.: Numerical study of a relaxed variational problem from optimal design. Comput. Methods Appl. Mech. Engrg. 57, 107-127 (1986)
-
(1986)
Comput. Methods Appl. Mech. Engrg.
, vol.57
, pp. 107-127
-
-
Goodman, J.1
Kohn, R.V.2
Reyna, L.3
-
24
-
-
0003358469
-
Partial differential relations
-
Springer, Berlin
-
Gromov, M.: Partial differential relations. Number 9 in Ergeb. Math. Grenzgeb. (3). Springer, Berlin 1986
-
(1986)
Ergeb. Math. Grenzgeb. (3)
, vol.9
-
-
Gromov, M.1
-
25
-
-
0000439529
-
Analysis and numerical studies of a problem of shape design
-
Kawhol, B., Stara, J., Wittum, G.: Analysis and numerical studies of a problem of shape design. Arch. Rational Mech. Anal. 114, 349-363 (1991)
-
(1991)
Arch. Rational Mech. Anal.
, vol.114
, pp. 349-363
-
-
Kawhol, B.1
Stara, J.2
Wittum, G.3
-
26
-
-
84987788617
-
A relation between existence of minima for non convex integrals and uniqueness for non strictly convex integrals of the calculus of variations
-
Cecconi, J.P., Zolezzi, T. (eds.) Mathematical theories of optimization, S. Margherita Ligure, Springer, Berlin
-
Marcellini, P.: A relation between existence of minima for non convex integrals and uniqueness for non strictly convex integrals of the Calculus of Variations. In: Cecconi, J.P., Zolezzi, T. (eds.) in Mathematical theories of optimization, number 979 in Lecture Notes in Math., pp. 216-231, S. Margherita Ligure (1981), Springer, Berlin 1983
-
(1981)
Lecture Notes in Math.
, vol.979
, pp. 216-231
-
-
Marcellini, P.1
-
27
-
-
84924362904
-
Non convex integrals of the calculus of variations
-
Cellina, A. (ed.) in Methods of non convex analysis. Varenna. Springer, Berlin
-
Marcellini, P.: Non convex integrals of the Calculus of Variations. In: Cellina, A. (ed.) in Methods of non convex analysis, number 1446 in Lecture Notes in Math., pp. 16-57. Varenna (1989). Springer, Berlin 1990
-
(1989)
Lecture Notes in Math.
, vol.1446
, pp. 16-57
-
-
Marcellini, P.1
-
28
-
-
0011188010
-
Non convex problems of the calculus of variations
-
Mascolo, E., Schianchi, R.: Non convex problems of the Calculus of Variations. Nonlinear Anal. 9, 371-379 (1985)
-
(1985)
Nonlinear Anal.
, vol.9
, pp. 371-379
-
-
Mascolo, E.1
Schianchi, R.2
-
29
-
-
38249034964
-
Existence theorems in the calculus of variations
-
Mascolo, E., Schianchi, R.: Existence theorems in the Calculus of Variations. J. Differential Equations 67, 185-198 (1987)
-
(1987)
J. Differential Equations
, vol.67
, pp. 185-198
-
-
Mascolo, E.1
Schianchi, R.2
-
30
-
-
0001309171
-
Attainment results for the two-well problem by convex integration
-
Jost, J. (ed.). International Press, Cambridge, MA
-
Müller, S., Šverák, V.: Attainment results for the two-well problem by convex integration. In: Jost, J. (ed.) Geometric analysis and the calculus of variations, pp. 239-251. International Press, Cambridge, MA 1996
-
(1996)
Geometric Analysis and the Calculus of Variations
, pp. 239-251
-
-
Müller, S.1
Šverák, V.2
-
31
-
-
0000369212
-
Convex integration with constraints and applications to phase transitions and partial differential equations
-
Müller, S., Šverák, V.: Convex integration with constraints and applications to phase transitions and partial differential equations. J. Eur. Math. Soc. (JEMS) 1, 393-422 (1999)
-
(1999)
J. Eur. Math. Soc. (JEMS)
, vol.1
, pp. 393-422
-
-
Müller, S.1
Šverák, V.2
-
32
-
-
0012940979
-
Optimal existence theorems for nonhomogeneous differential inclusions
-
Müller, S., Sychev, M.A.: Optimal existence theorems for nonhomogeneous differential inclusions. J. Funct. Anal. 181, 447-475 (2001)
-
(2001)
J. Funct. Anal.
, vol.181
, pp. 447-475
-
-
Müller, S.1
Sychev, M.A.2
-
33
-
-
0001496391
-
Calcul des variations et homogénéization
-
Bergman, D., et al. (eds.) in Les methodes de l'homogénéization: thèorie et applications en physique. Bréau sans Nappe. Eyrolles, Paris
-
Murat, F., Tartar, L.: Calcul des variations et homogénéization. In: Bergman, D., et al. (eds.) in Les methodes de l'homogénéization: thèorie et applications en physique, number 57 in Collect. Dir. Études Rech. Élec. France, pp. 316-369. Bréau sans Nappe (1983). Eyrolles, Paris 1985
-
(1983)
Collect. Dir. Études Rech. Élec. France
, vol.57
, pp. 316-369
-
-
Murat, F.1
Tartar, L.2
-
34
-
-
0011207047
-
Existence of minimizers for vector problems without quasiconvexity condition
-
Raymond, J.P.: Existence of minimizers for vector problems without quasiconvexity condition. Nonlinear Anal. 18, 815-825 (1992)
-
(1992)
Nonlinear Anal.
, vol.18
, pp. 815-825
-
-
Raymond, J.P.1
-
35
-
-
0028496919
-
Existence and uniqueness results for minimization problems with nonconvex functionals
-
Raymond, J.P.: Existence and uniqueness results for minimization problems with nonconvex functionals. J. Opt. Theory Appl. 82, 571-591 (1994)
-
(1994)
J. Opt. Theory Appl.
, vol.82
, pp. 571-591
-
-
Raymond, J.P.1
-
36
-
-
0010878597
-
Theory of the integral
-
Hafner Publishing Co., G.E. Stechen, New York
-
Saks, S.: Theory of the integral. Number 7 in Monografie Matematyczne. Hafner Publishing Co., G.E. Stechen, New York 1937
-
(1937)
Monografie Matematyczne
, vol.7
-
-
Saks, S.1
-
37
-
-
23044520440
-
Characterization of homogeneous scalar variational problems solvable for all boundary data
-
Sychev, M.A.: Characterization of homogeneous scalar variational problems solvable for all boundary data. Proc. Roy. Soc. Edinburgh Sect. A 130, 611-631 (2000)
-
(2000)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.130
, pp. 611-631
-
-
Sychev, M.A.1
-
38
-
-
0032398499
-
An existence result for a class of non convex problems of the calculus of variations
-
Treu, G.: An existence result for a class of non convex problems of the Calculus of Variations. J. Convex Anal. 5, 31-44 (1998)
-
(1998)
J. Convex Anal.
, vol.5
, pp. 31-44
-
-
Treu, G.1
-
40
-
-
0033902409
-
Minimization of functionals of the gradient by Baire's theorem
-
Zagatti, S.: Minimization of functionals of the gradient by Baire's theorem. SIAM J. Control Optim. 38, 384-399 (2000)
-
(2000)
SIAM J. Control Optim.
, vol.38
, pp. 384-399
-
-
Zagatti, S.1
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