Existence of many positive solutions of semilinear elliptic equations on an annulus

DOI10.1090/S0002-9939-99-04708-5zbMath0911.35051MaRDI QIDQ4235587

Michel Willem, Zhi-Qiang Wang

Publication date: 22 March 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

number of solutionsexpanding annulus

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods for second-order elliptic equations (35J20)

Related Items (12)

Multi-bump solutions for nonlinear elliptic equations involving critical Sobolev exponents ⋮ Positive radial solutions for elliptic equations with sign-changing nonlinear terms in an annulus ⋮ Existence of positive radial solutions for nonlinear elliptic equations with gradient terms in an annulus ⋮ Multispike solutions for the Brezis-Nirenberg problem in dimension three ⋮ Symmetric and asymmetric solutions of \(p\)-Laplace elliptic equations in hollow domains ⋮ Superlinear elliptic equation with mixed boundary value in annular domain ⋮ RADIAL SOLUTION OF ASYMPTOTICALLY LINEAR ELLIPTIC EQUATION WITH MIXED BOUNDARY VALUE IN ANNULAR DOMAIN ⋮ Least energy solutions of the Emden-Fowler equation in hollow thin symmetric domains ⋮ Multiple positive solutions of the Emden-Fowler equation in hollow thin symmetric domains ⋮ Existence of radial solutions for nonlinear elliptic equations with gradient terms in annular domains ⋮ Multiplicity of solutions for a class of quasilinear problems involving the \(1\)-Laplacian operator with critical growth ⋮ Multiple solutions for a class of quasilinear problems with double criticality

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