Multiplicity of solutions of semilinear elliptic boundary value problems with jumping nonlinearities at zero

DOI10.1016/S0362-546X(00)00234-0zbMath1033.35038MaRDI QIDQ1348214

Zhaoli Liu

Publication date: 8 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

fixed point indexsub- and super-solutionsmountain pass lemmaSobolev imbedding theorems

Mathematics Subject Classification ID

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

Related Items (3)

Sign-changing solutions for nonlinear elliptic problems depending on parameters ⋮ Existence of nontrivial solutions for Kirchhoff-type problems with jumping nonlinearities ⋮ Sign-changing solutions and multiplicity results for elliptic problems via lower and upper solutions

Cites Work

• Variational and topological methods in partially ordered Hilbert spaces
• Combined effects of concave and convex nonlinearities in some elliptic problems
• On the first curve of the Fučik spectrum of an elliptic operator
• Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities
• Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems
• Infinite dimensional Morse theory and multiple solution problems
• Multiple solutions of some semilinear elliptic equations via the generalized Conley index
• A Note on the Topological Degree at a Critical Point of Mountainpass-Type
• A Variational approach to superlinear elliptic problems
• A Note on Degree Theory for Gradient Mappings
• Existence of changing sign solutions for some semilinear problems with jumping nonlinearities at zero
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