Elliptic problems in variable exponent spaces

DOI10.1017/S0004972700035644zbMath1284.35177OpenAlexW2124313062MaRDI QIDQ3410755

Mihai Mihăilescu

Publication date: 16 November 2006

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700035644

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Strong unique continuation for solutions of a \(p(x)\)-Laplacian problem ⋮ On the Sobolev embedding theorem for variable exponent spaces in the critical range ⋮ Overview of differential equations with non-standard growth ⋮ On a class of nonlinear problems involving a p(x)-Laplace type operator

Cites Work

• Orlicz spaces and modular spaces
• On the variational principle
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Dual variational methods in critical point theory and applications
• Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
• Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• OnL^p(x)norms
• Flow of shear dependent electrorheological fluids
• Existence of Solutions for a Class of Problems in IR N Involving the p(x)-Laplacian
• Regularity results for a class of functionals with non-standard growth

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