Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces
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Publication:954818
DOI10.5802/aif.2407zbMath1186.35065arXiv0712.2185OpenAlexW1769838513MaRDI QIDQ954818
Mihai Mihăilescu, Vicenţiu D. Rădulescu
Publication date: 18 November 2008
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.2185
Orlicz-Sobolev spaceNeumann boundary value problemnonlinear partial differential equationnonhomogeneous differential operator
Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Orlicz spaces and modular spaces
- On the isometries of certain function-spaces
- Existence and multiplicity of solutions for quasilinear nonhomogeneous problems: an Orlicz-Sobolev space setting
- Mountain pass type solutions for quasilinear elliptic equations
- On the variational principle
- On factorization of Orlicz spaces
- Nonhomogeneous boundary value problems in anisotropic Sobolev spaces
- Continuous spectrum for a class of nonhomogeneous differential operators
- Orlicz-Sobolev spaces and imbedding theorems
- Existence of solutions to a semilinear elliptic system trough Orlicz-Sobolev spaces
- Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- On modular spaces
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- Density of smooth functions in W k, p(x) ( Ω )
- OnLp(x)norms
- Über konjugierte Exponentenfolgen
- Sobolev embeddings with variable exponent
- On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
- Fractional Integration in Orlicz Spaces. I
- Variable Exponent, Linear Growth Functionals in Image Restoration
- A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
- Regularity results for a class of functionals with non-standard growth
- Mathematical modeling of electrorheological materials
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)