-
1
-
-
0017014016
-
Fixed point equations and nonlinear eigenvalue problems in ordered Banach space
-
H. Amann, Fixed point equations and nonlinear eigenvalue problems in ordered Banach space, SIAM Rev. 18 (1976), 620-709.
-
(1976)
SIAM Rev.
, vol.18
, pp. 620-709
-
-
Amann, H.1
-
2
-
-
18144391348
-
Nonlinear eigenvalue problems having precisely two solutions
-
H. Amann, Nonlinear eigenvalue problems having precisely two solutions. Math. Z. 150 (1976), 27-37.
-
(1976)
Math. Z.
, vol.150
, pp. 27-37
-
-
Amann, H.1
-
3
-
-
84972506355
-
Positive solutions for some semi-positone problems via bifurcation theory
-
A. Ambrosetti, D. Arcoya, and B. Buffoni, Positive solutions for some semi-positone problems via bifurcation theory, Differential Integral Equations 7 (1994), 655-663.
-
(1994)
Differential Integral Equations
, vol.7
, pp. 655-663
-
-
Ambrosetti, A.1
Arcoya, D.2
Buffoni, B.3
-
4
-
-
0000049245
-
Combined effects of concave and convex non-linearities in some elliptic problems
-
A. Ambrosetti, H. Brézis, and G. Cerami, Combined effects of concave and convex non-linearities in some elliptic problems, J. Fund. Anal. 122 (1994), 519-543.
-
(1994)
J. Fund. Anal.
, vol.122
, pp. 519-543
-
-
Ambrosetti, A.1
Brézis, H.2
Cerami, G.3
-
5
-
-
2642577359
-
Positive solutions of asymptotically linear elliptic eigenvalue problems
-
A. Ambrosetti and P. Hess, Positive solutions of asymptotically linear elliptic eigenvalue problems, J. Math. Anal. Appl. 73 (1980), 411-422.
-
(1980)
J. Math. Anal. Appl.
, vol.73
, pp. 411-422
-
-
Ambrosetti, A.1
Hess, P.2
-
6
-
-
0020591567
-
Nonlinear scalar field equations. I. Existence of a ground state
-
H. Berestycki and P.-L. Lions, Nonlinear scalar field equations. I. Existence of a ground state, Arch. Rational Mech. Anal. 82 (1983), 313-345.
-
(1983)
Arch. Rational Mech. Anal.
, vol.82
, pp. 313-345
-
-
Berestycki, H.1
Lions, P.-L.2
-
8
-
-
38149144591
-
Uniqueness of stable and unstable positive solutions for semipositone problems
-
A. Castro and S. Gadam, Uniqueness of stable and unstable positive solutions for semipositone problems, Nonlinear Anal. 22 (1994), 425-429.
-
(1994)
Nonlinear Anal.
, vol.22
, pp. 425-429
-
-
Castro, A.1
Gadam, S.2
-
9
-
-
0001857085
-
Branches of radial solutions for semipositone problems
-
A. Castro, S. Gadam, and R. Shivaji, Branches of radial solutions for semipositone problems, J. Differential Equations 120 (1995), 30-45.
-
(1995)
J. Differential Equations
, vol.120
, pp. 30-45
-
-
Castro, A.1
Gadam, S.2
Shivaji, R.3
-
10
-
-
0000335697
-
Existence results for classes of sublinear semipositone problems
-
A. Castro, J. B. Garner, and R. Shivaji, Existence results for classes of sublinear semipositone problems, Results Math. 23 (1993), 214-220.
-
(1993)
Results Math.
, vol.23
, pp. 214-220
-
-
Castro, A.1
Garner, J.B.2
Shivaji, R.3
-
11
-
-
0141480222
-
Nonnegative solutions for a class of radially symmetric nonpositone problems
-
A. Castro and R. Shivaji, Nonnegative solutions for a class of radially symmetric nonpositone problems, Proc. Amer. Math. Soc. 106 (1989), 735-740.
-
(1989)
Proc. Amer. Math. Soc.
, vol.106
, pp. 735-740
-
-
Castro, A.1
Shivaji, R.2
-
13
-
-
84969732524
-
Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball
-
X.-Y. Chen and P. Peter, Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball, J. Reine Angew. Math. 472 (1996), 17-51.
-
(1996)
J. Reine Angew. Math.
, vol.472
, pp. 17-51
-
-
Chen, X.-Y.1
Peter, P.2
-
14
-
-
21144474681
-
A geometric proof of the Kwong-McLeod uniqueness result
-
C. B. Clemons and C. K. R. T. Jones, A geometric proof of the Kwong-McLeod uniqueness result, SIAM J. Math. Anal. 24 (1993), 436-443.
-
(1993)
SIAM J. Math. Anal.
, vol.24
, pp. 436-443
-
-
Clemons, C.B.1
Jones, C.K.R.T.2
-
15
-
-
0015249887
-
3=0 and a variational characterization of other solutions
-
3=0 and a variational characterization of other solutions, Arch. Rational Mech. Anal. 46 (1972), 81-95.
-
(1972)
Arch. Rational Mech. Anal.
, vol.46
, pp. 81-95
-
-
Coffman, C.V.1
-
17
-
-
0015746829
-
Bifurcation, perturbation of simple eigenvalues and linearized stability
-
M. G. Crandall and P. H. Rabinowitz, Bifurcation, perturbation of simple eigenvalues and linearized stability, Arch. Rational Mech. Anal. 52 (1973), 161-180.
-
(1973)
Arch. Rational Mech. Anal.
, vol.52
, pp. 161-180
-
-
Crandall, M.G.1
Rabinowitz, P.H.2
-
18
-
-
0016643640
-
Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
-
M. G. Crandall and P. H. Rabinowitz, Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Arch. Rational Mech. Anal. 58 (1975), 207-218.
-
(1975)
Arch. Rational Mech. Anal.
, vol.58
, pp. 207-218
-
-
Crandall, M.G.1
Rabinowitz, P.H.2
-
19
-
-
0001626634
-
On positive solutions of some singularly perturbed problems where the nonlinearity changes sign, Topol
-
E. N. Dancer, On positive solutions of some singularly perturbed problems where the nonlinearity changes sign, Topol. Methods Nonlinear Anal. 5 (1995), 141-175.
-
(1995)
Methods Nonlinear Anal.
, vol.5
, pp. 141-175
-
-
Dancer, E.N.1
-
21
-
-
84968484972
-
On positive solutions of semilinear elliptic equations
-
E. N. Dancer and K. Schmitt, On positive solutions of semilinear elliptic equations, Proc. Amer. Math. Soc: 101 (1987), 445-452.
-
(1987)
Proc. Amer. Math. Soc
, vol.101
, pp. 445-452
-
-
Dancer, E.N.1
Schmitt, K.2
-
23
-
-
84974488953
-
The set of positive solutions of semilinear equations in large balls
-
R. Gardner and L. A. Peletier, The set of positive solutions of semilinear equations in large balls, Proc. Roy. Soc. Edinburgh Sect. A 104 (1986), 53-72.
-
(1986)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.104
, pp. 53-72
-
-
Gardner, R.1
Peletier, L.A.2
-
24
-
-
34250271532
-
Symmetry and related properties via the maximum principle
-
B. Gidas, W. M. Ni, and L. Nirenberg, Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68 (1979), 209-243.
-
(1979)
Comm. Math. Phys.
, vol.68
, pp. 209-243
-
-
Gidas, B.1
Ni, W.M.2
Nirenberg, L.3
-
26
-
-
0015557517
-
Quasilinear Dirichlet problems driven by positive sources
-
D. D. Joseph and T. S. Lundgren, Quasilinear Dirichlet problems driven by positive sources, Arch. Rational Mech. Anal. 49 (1972-1973), 241-269.
-
(1972)
Arch. Rational Mech. Anal.
, vol.49
, pp. 241-269
-
-
Joseph, D.D.1
Lundgren, T.S.2
-
27
-
-
84980080697
-
Heavy rotating string - A nonlinear eigenvalue problem
-
I. I. Kolodner, Heavy rotating string - A nonlinear eigenvalue problem, Comm. Pure Appl. Math. 8 (1955), 395-408.
-
(1955)
Comm. Pure Appl. Math.
, vol.8
, pp. 395-408
-
-
Kolodner, I.I.1
-
28
-
-
21744446009
-
Solution curves for semilinear equations on a ball
-
P. Korman, Solution curves for semilinear equations on a ball, Proc. Amer. Math. Soc. 125 (1997), 1997-2005.
-
(1997)
Proc. Amer. Math. Soc.
, vol.125
, pp. 1997-2005
-
-
Korman, P.1
-
29
-
-
21344474527
-
Exact multiplicity results for boundary value problems with nonlinearities generalising cubic
-
P. Korman, Y. Li, and T. Ouyang, Exact multiplicity results for boundary value problems with nonlinearities generalising cubic, Proc. Roy. Soc. Edinburgh Sect. A 126 (1996), 599-616.
-
(1996)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.126
, pp. 599-616
-
-
Korman, P.1
Li, Y.2
Ouyang, T.3
-
30
-
-
0000411957
-
An exact multiplicity result for a class of semilinear equations
-
P. Korman, Y. Li, and T. Ouyang, An exact multiplicity result for a class of semilinear equations, Comm. Partial Differential Equations 22 (1997), 661-684.
-
(1997)
Comm. Partial Differential Equations
, vol.22
, pp. 661-684
-
-
Korman, P.1
Li, Y.2
Ouyang, T.3
-
31
-
-
0009905753
-
On the Kolodner-Coffman method for the uniqueness problem of Emden-Fowler BVP
-
M. K. Kwong, On the Kolodner-Coffman method for the uniqueness problem of Emden-Fowler BVP, Z. Angew. Math. Phys. 41 (1990), 79-104.
-
(1990)
Z. Angew. Math. Phys.
, vol.41
, pp. 79-104
-
-
Kwong, M.K.1
-
32
-
-
84968486001
-
Uniqueness of radial solutions of semilinear elliptic equations
-
M. K. Kwong and Y. Li, Uniqueness of radial solutions of semilinear elliptic equations, Trans. Amer. Math. Soc. 333 (1992), 339-363.
-
(1992)
Trans. Amer. Math. Soc.
, vol.333
, pp. 339-363
-
-
Kwong, M.K.1
Li, Y.2
-
34
-
-
84972508309
-
Uniqueness of the positive solution of Δu+f(u)=0 in an annulus
-
M. K. Kwong and L. Q. Zhang, Uniqueness of the positive solution of Δu+f(u)=0 in an annulus, Differential Integral Equations 4 (1991), 583-599.
-
(1991)
Differential Integral Equations
, vol.4
, pp. 583-599
-
-
Kwong, M.K.1
Zhang, L.Q.2
-
35
-
-
84966214197
-
A counterexample to the nodal domain conjecture and a related semilinear equation
-
C.-S. Lin and W.-M. Ni, A counterexample to the nodal domain conjecture and a related semilinear equation, Proc. Amer. Math. Soc. 102 (1988), 271-277.
-
(1988)
Proc. Amer. Math. Soc.
, vol.102
, pp. 271-277
-
-
Lin, C.-S.1
Ni, W.-M.2
-
36
-
-
0001751654
-
On the existence of positive solutions of semilinear elliptic equations
-
P.-L. Lions, On the existence of positive solutions of semilinear elliptic equations, SIAM Rev. 24 (1982), 441-467.
-
(1982)
SIAM Rev.
, vol.24
, pp. 441-467
-
-
Lions, P.-L.1
-
39
-
-
0001196951
-
Uniqueness of solutions of nonlinear Dirichlet problems
-
W.-M. Ni, Uniqueness of solutions of nonlinear Dirichlet problems, J. Differential Equations 50 (1983), 289-304.
-
(1983)
J. Differential Equations
, vol.50
, pp. 289-304
-
-
Ni, W.-M.1
-
40
-
-
84990576581
-
Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r)=0
-
W.-M. Ni and R. D. Nussbaum, Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r)=0, Comm. Pure Appl. Math. 38 (1985), 67-108.
-
(1985)
Comm. Pure Appl. Math.
, vol.38
, pp. 67-108
-
-
Ni, W.-M.1
Nussbaum, R.D.2
-
41
-
-
0001602653
-
Exact multiplicity of positive solutions for a class of semilinear problems
-
T. Ouyang and J. Shi, Exact multiplicity of positive solutions for a class of semilinear problems, J. Differential Equations 146 (1998), 121-156.
-
(1998)
J. Differential Equations
, vol.146
, pp. 121-156
-
-
Ouyang, T.1
Shi, J.2
-
44
-
-
36448974335
-
Some global results for nonlinear eigenvalue problems
-
P. H. Rabinowitz, Some global results for nonlinear eigenvalue problems, J. Funct. Anal. 7 (1971), 487-513.
-
(1971)
J. Funct. Anal.
, vol.7
, pp. 487-513
-
-
Rabinowitz, P.H.1
-
46
-
-
0003208393
-
Global solution branches of two-point boundary value problems
-
Springer-Verlag, Berlin
-
R. Schaaf, Global solution branches of two-point boundary value problems, in "Lecture Notes in Mathematics," Vol. 1458, Springer-Verlag, Berlin, 1990.
-
(1990)
Lecture Notes in Mathematics
, vol.1458
-
-
Schaaf, R.1
-
47
-
-
23044510770
-
-
Ph.D. dissertation, Brigham Young University
-
J. Shi, Ph.D. dissertation, Brigham Young University, 1998.
-
(1998)
-
-
Shi, J.1
-
49
-
-
85030074191
-
Morse indices and exact multiplicity of solutions to semilinear elliptic problems
-
in press
-
J. Shi and J. Wang, Morse indices and exact multiplicity of solutions to semilinear elliptic problems, Proc. Amer. Math. Soc., in press.
-
Proc. Amer. Math. Soc.
-
-
Shi, J.1
Wang, J.2
-
50
-
-
22444455186
-
On a singular nonlinear semilinear elliptic problem
-
J. Shi and M. Yao, On a singular nonlinear semilinear elliptic problem, Proc. Roy. Soc. Edinburgh Sect. A 128 (1998), 1389-1401.
-
(1998)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.128
, pp. 1389-1401
-
-
Shi, J.1
Yao, M.2
-
51
-
-
0000093987
-
Global bifurcation of steady-state solutions
-
J. Smoller and A. Wasserman, Global bifurcation of steady-state solutions, J. Differential Equations 39 (1981), 269-290.
-
(1981)
J. Differential Equations
, vol.39
, pp. 269-290
-
-
Smoller, J.1
Wasserman, A.2
-
52
-
-
0005740527
-
Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations
-
J. A. Smoller and A. G. Wasserman, Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations, Comm. Math. Phys. 95 (1984), 129-159.
-
(1984)
Comm. Math. Phys.
, vol.95
, pp. 129-159
-
-
Smoller, J.A.1
Wasserman, A.G.2
|