Nontrivial solutions for elliptic resonant problems

DOI10.1016/j.na.2008.02.095zbMath1154.35357OpenAlexW2078166316MaRDI QIDQ1001869

Shibo Liu

Publication date: 19 February 2009

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.2008.02.095

zbMATH Keywords

critical groupsLyapunov-Schmidt reductionAlexander duality theoremelliptic resonant problems

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)

Related Items (9)

Multiple nontrivial solutions for asymptotically linear discrete problem via computations of the critical groups ⋮ Nontrivial solutions of second-order difference equations ⋮ Multiplicity results and qualitative properties for Neumann semilinear elliptic problems ⋮ On asymptotically linear elliptic equations in \(\mathbb R^N\) ⋮ Nontrivial solutions on a kind of fourth-order Neumann boundary value problems ⋮ Neumann problems resonant at zero and infinity ⋮ Nontrivial solutions to a class of systems of second-order differential equations ⋮ Existence of solutions for a problem of resonance using variational method ⋮ Ground state solutions for resonant cooperative elliptic systems with general superlinear terms

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