On a new notion of linking and application to elliptic problems at resonance
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Publication:1284429
DOI10.1006/jdeq.1998.3540zbMath0922.35044OpenAlexW2051253418MaRDI QIDQ1284429
Publication date: 11 October 1999
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1998.3540
Nonlinear boundary value problems for linear elliptic equations (35J65) Existence of solutions for minimax problems (49J35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Optimality conditions for minimax problems (49K35) Variational methods for second-order elliptic equations (35J20)
Related Items (15)
Existence of weak solutions for a class of \((p,q)\)-Laplacian systems ⋮ Existence of three nontrivial solutions for a class of superlinear elliptic equations ⋮ On topological and metric critical point theory ⋮ Linking over cones for the Neumann fractional \(p\)-Laplacian ⋮ Critical point theorems in cones and multiple positive solutions of elliptic problems ⋮ Multiplicity of nontrivial solutions for quasilinear elliptic equation ⋮ A compression type mountain pass theorem in conical shells ⋮ Linking over cones and nontrivial solutions for \(p\)-Laplace equations with \(p\)-superlinear nonlinearity ⋮ Semilinear elliptic problems near resonance with a nonprincipal eigenvalue ⋮ On topological Morse theory ⋮ On a notion of category depending on a functional. I: Theory and application to critical point theory ⋮ On a notion of category depending on a functional. II: An application to Hamiltonian systems ⋮ Compression–Expansion Critical Point Theorems in Conical Shells ⋮ Multiplicity results for some elliptic systems near resonance with a nonprincipal eigenvalue ⋮ A Schechter type critical point result in annular conical domains of a Banach space and applications
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