Multiple nontrivial solutions of semilinear strongly resonant elliptic equations

DOI10.1016/0362-546X(92)90029-EzbMath0784.35032MaRDI QIDQ4030891

José Valdo A. Goncalves, Olímpio Hiroshi Miyagaki

Publication date: 1 April 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

semilinear elliptic equationsstrong resonancevariational methodsexistence of multiple solutions

Mathematics Subject Classification ID

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

Related Items (7)

Remarks on a resonant problem with an unbounded nonlinearity ⋮ Three nontrivial solutions for a quasilinear elliptic differential equation at resonance with discontinuous right hand side ⋮ Pairs of nontrivial smooth solutions for nonlinear Neumann problems ⋮ Three solutions for a strongly resonant elliptic problem ⋮ Resonant Robin problems driven by the p-Laplacian plus an indefinite potential ⋮ Multiple solutions for nonlinear elliptic equations at resonance with a nonsmooth potential. ⋮ Nonsmooth critical point theory and nonlinear elliptic equations at resonance

Cites Work

• Dual variational methods in critical point theory and applications
• Linking theorems and applications to semilinear elliptic problems at resonance
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• On the existence of a nontrivial solution to nonlinear problems at resonance
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