Superlinear critical resonant problems with small forcing term

DOI10.1007/s00526-014-0788-8zbMath1323.35022OpenAlexW2065398032MaRDI QIDQ493183

Colette De Coster, Mabel Cuesta

Publication date: 11 September 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-014-0788-8

zbMATH Keywords

Dirichlet boundary conditions\(p\)-Laplacianquasilinear elliptic problems

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) General topics in linear spectral theory for PDEs (35P05) Higher-order elliptic equations (35J30)

Related Items (6)

Improved Friedrichs inequality for a subhomogeneous embedding ⋮ On a semilinear fourth order elliptic problem with asymmetric nonlinearity ⋮ Existence of solutions of a superlinear elliptic system at resonance ⋮ Existence of solutions for a coupled Schrödinger equations with critical exponent ⋮ Multiple nontrivial solutions for a class of biharmonic elliptic equations with Sobolev critical exponent ⋮ Hamiltonian elliptic systems with critical polynomial-exponential growth

Cites Work

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• Semilinear elliptic equations for beginners. Existence results via the variational approach
• Poincaré inequality and Palais-Smale condition for the \(p\)-Laplacian
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• On a resonant-superlinear elliptic problem
• An improved Poincaré inequality and the \(p\)-Laplacian at resonance for \(p>2\)
• Critical superlinear Ambrosetti-Prodi problems
• Generic Simplicity of the Spectrum and Stabilization for a Plate Equation
• Landesman-Lazer conditions for problems with “one- side unbounded” nonlinearities
• A Resonant-Superlinear Elliptic Problem Revisited

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