Semilinear elliptic resonant problems at higher eigenvalue with unbounded nonlinear terms

DOI10.1007/BF02580445zbMath0909.35050OpenAlexW91363116MaRDI QIDQ4209717

Jiabao Su

Publication date: 12 November 1998

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02580445

zbMATH Keywords

Morse theoryresonant 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 (12)

Multiplicity results for asymptotically linear elliptic problems at resonance. ⋮ Nontrivial solutions of elliptic systems with nonlinearities may not have asymptotic limits ⋮ Bounded resonant problems driven by fractional Laplacian ⋮ Some minimax theorems on finding nontrivial critical points and their applications ⋮ Multiplicity results for semilinear elliptic equations with resonance at higher eigenvalues ⋮ Solutions to a gradient system with resonance at both zero and infinity ⋮ An elliptic resonance problem with multiple solutions ⋮ Some existence theorems for elliptic resonant problems. ⋮ Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues ⋮ Nontrivial solutions for elliptic resonant problems ⋮ Multiple solutions for semilinear elliptic boundary value problems with double resonance ⋮ Existence and multiplicity results for classes of elliptic resonant problems.

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• Bounded resonance problems for semilinear elliptic equations
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