The Neumann boundary value problem of higher order quasilinear elliptic equation

DOI10.1016/j.na.2010.02.024zbMath1190.35102OpenAlexW1982561552MaRDI QIDQ972401

Mei Yu, Yongqiang Fu

Publication date: 25 May 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.02.024

zbMATH Keywords

quasilinear elliptic equationembeddingNeumann boundary value problem\(L^{p(x)}(\Omega )\) space\(W^{m,p(x)}(\Omega)\) space

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62)

Cites Work

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• Regularity results for parabolic systems related to a class of non-Newtonian fluids.
• Electrorheological fluids: modeling and mathematical theory
• Regularity results for stationary electro-rheological fluids
• Boundary trace embedding theorems for variable exponent Sobolev spaces
• Solutions for Neumann boundary value problems involving \(p(x)\)-Laplace operators
• Quasilinear ellipticity and the ist eigenvalue
• OnL^p(x)norms
• Sobolev embeddings with variable exponent
• A new variational method for thep(x)-Laplacian equation
• Resonance and the Second BVP
• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
• Superlinear quasilinearity and the second eigenvalue
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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