A continuous spectrum for nonhomogeneous differential operators in Orlicz-Sobolev spaces

DOI10.7146/MATH.SCAND.A-15090zbMath1161.35036arXiv0711.0904OpenAlexW1958271145MaRDI QIDQ3604185

Mihai Mihăilescu, Vicenţiu D. Rădulescu

Publication date: 24 February 2009

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0904

zbMATH Keywords

continuous spectrumvariational methodsOrlicz-Sobolev spacesnonlinear eigenvalue problemquasilinear operatorvariable exponent Lebesgue spaces

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) 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) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (9)

Existence results for a Kirchhoff type equation in Orlicz-Sobolev spaces ⋮ Unnamed Item ⋮ Global regularity for divergence form elliptic equations in Orlicz spaces on quasiconvex domains ⋮ Quasilinear elliptic non-homogeneous Dirichlet problems through Orlicz-Sobolev spaces ⋮ Nonhomogeneous eigenvalue problem with indefinite weight ⋮ Unnamed Item ⋮ Eigenvalue problems for anisotropic elliptic equations: an Orlicz-Sobolev space setting ⋮ Robin problems involving the \(p(x)\)-Laplacian ⋮ An estimate for the resolvent of a non-self-adjoint differential operator on the half-line

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