Multiple solutions for a class of semilinear elliptic equations

DOI10.1090/S0002-9939-97-04199-3zbMath0885.35036OpenAlexW1594027791MaRDI QIDQ4372424

Zhiren Jin

Publication date: 11 December 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04199-3

zbMATH Keywords

infinitely many solutionsthree solutionssup-super-solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

Multiple nontrivial solutions for nonlinear eigenvalue problems ⋮ Semilinear elliptic equations and fixed points ⋮ Sign-changing solutions for nonlinear elliptic problems depending on parameters ⋮ Solutions of supercritical semilinear non-homogeneous elliptic problems ⋮ Radial solutions of Dirichlet problems with concave-convex nonlinearities ⋮ Constant-sign and sign-changing solutions for nonlinear eigenvalue problems ⋮ Constant sign and nodal solutions for problems with the \(p\)-Laplacian and a nonsmooth potential using variational techniques ⋮ On the Morse critical groups for indefinite sublinear elliptic problems

Cites Work

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• A general mountain pass principle for locating and classifying critical points
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Multiplicity results for some nonlinear elliptic equations
• Dual variational methods in critical point theory and applications

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