Neumann problem of an elliptic equation with strong resonance

DOI10.1016/J.NA.2006.02.046zbMath1168.35019OpenAlexW1990323798MaRDI QIDQ876896

Aixia Qian

Publication date: 19 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.na.2006.02.046

zbMATH Keywords

Morse theorystrong resonancenodal set

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Resonance in context of PDEs (35B34)

Related Items (2)

Existence of positive solutions to semilinear elliptic problems with nonlinear boundary condition ⋮ Sign-changing solutions for some nonlinear problems with strong resonance

Cites Work

• Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations
• A new Morse theory and strong resonance problems
• Morse theory without (PS) condition at isolated values and strong resonance problems
• Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems
• Infinite dimensional Morse theory and multiple solution problems
• DIRICHLET PROBLEM OF ELLIPTIC EQUATIONS WITH STRONG RESONANCES
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance

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