An asymmetric superlinear elliptic problem at resonance

DOI10.1016/J.NA.2014.09.019zbMath1303.35013OpenAlexW2007707878MaRDI QIDQ468628

Leandro Recôva, Adolfo J. Rumbos

Publication date: 7 November 2014

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.2014.09.019

zbMATH Keywords

critical groupsMorse theoryresonance

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (12)

Four solutions for fractional \(p\)-Laplacian equations with asymmetric reactions ⋮ Asymmetric \((p,2)\)-equations, superlinear at \(+\infty\) resonant at \(-\infty\) ⋮ On a Robin problem with indefinite weight and asymmetric reaction superlinear at \(+\infty\) ⋮ Asymmetric Robin problems with indefinite potential and concave terms ⋮ \((p,2)\)-equations asymmetric at both zero and infinity ⋮ Asymmetric \(8(p,2)\)-equations with double resonance ⋮ Existence of solutions of a superlinear elliptic system at resonance ⋮ Resonant-superlinear and resonant-sublinear Dirichlet problems ⋮ Multiple solutions to a Robin problem with indefinite weight and asymmetric reaction ⋮ A remark on the Ambrosetti-Prodi type problem ⋮ Multiple nontrivial solutions of a semilinear elliptic problem with asymmetric nonlinearity ⋮ Unnamed Item

Cites Work

• Morse theory and asymptotic linear Hamiltonian system
• Critical point theory and Hamiltonian systems
• On a resonant-superlinear elliptic problem
• Calculating critical groups of solutions for elliptic problem with jumping nonlinearity
• Infinite dimensional Morse theory and multiple solution problems
• Applications of local linking to critical point theory
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
• Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues
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