Multiplicity of solutions for Neumann problems resonant at any eigenvalue

DOI10.1215/21562261-2642386zbMath1296.35040OpenAlexW2082157469WikidataQ112251795 ScholiaQ112251795MaRDI QIDQ2017067

Leszek Gasiński, Nikolaos S. Papageorgiou

Publication date: 25 June 2014

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1401741278

zbMATH Keywords

multiplicityMorse theorysemilinear elliptic equationNeumann problem

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (2)

Existence and multiplicity of solutions for a nonhomogeneous Neumann boundary problem ⋮ Multiplicity results and qualitative properties for Neumann semilinear elliptic problems

Cites Work

• Saddle points and multiple solutions of differential equations
• Handbook of applied analysis
• Multiple solutions of Neumann problem for elliptic equations.
• Existence and multiplicity for solutions of Neumann problem for semilinear elliptic equations.
• Infinite dimensional Morse theory and multiple solution problems
• Neumann problems resonant at zero and infinity
• Remarks on multiple solutions for elliptic resonant problems
• Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist
• Multiple nontrivial solutions for resonant Neumann problems
• Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints
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