Concentration phenomena in nonlinear eigenvalue problems with variable exponents and sign-changing potential

DOI10.1007/s11854-010-0018-zzbMath1221.35269OpenAlexW1993097417MaRDI QIDQ628354

Vicenţiu D. Rădulescu, Mihai Mihăilescu

Publication date: 10 March 2011

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.523.1530

zbMATH Keywords

nonlinear eigenvalue problem\(p\)-Laplacianvariable exponent Lebesgue spacenonhomogeneous problemoptimization of eigenvaluessign-chaning potential

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20)

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Double phase problems with variable growth ⋮ On a class of fractional Laplacian problems with variable exponents and indefinite weights ⋮ Nonhomogeneous eigenvalue problem with indefinite weight ⋮ Unnamed Item ⋮ Eigenvalue problems for fractional \(p(x,y)\)-Laplacian equations with indefinite weight ⋮ Some remarks on an eigenvalue problem for an anisotropic elliptic equation with indefinite weight ⋮ Nonlinear elliptic equations with variable exponent: old and new

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