On the existence and stability of solutions for Dirichlet problem with \(p(x)\)-Laplacian
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Publication:860945
DOI10.1016/j.jmaa.2006.03.006zbMath1159.35365OpenAlexW2083633023MaRDI QIDQ860945
Publication date: 9 January 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.006
Nonlinear boundary value problems for linear elliptic equations (35J65) Stability in context of PDEs (35B35) Variational methods for second-order elliptic equations (35J20)
Related Items (6)
On a Dirichlet problem with \(p(x)\)-Laplacian ⋮ Overview of differential equations with non-standard growth ⋮ PDE and ODE limit problems for \(p(x)\)-Laplacian parabolic equations ⋮ Structural stability for variable exponent elliptic problems. I: The \(p(x)\)-Laplacian kind problems ⋮ Picone identities for half-linear elliptic operators with \(p(x)\)-laplacians and applications to Sturmian comparison theory ⋮ A note on the stability and the approximation of solutions for a Dirichlet problem with p(x)-Laplacian
Cites Work
- Unnamed Item
- Unnamed Item
- Existence results to elliptic systems with nonstandard growth conditions
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Stability in semilinear problems
- Continuous dependence on parameters and boundary data for nonlinear P.D.E. coercive case.
- Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- Stability of solutions for an abstract Dirichlet problem
- Equivalent Norms for Sobolev Spaces
- A new variational method for thep(x)-Laplacian equation
- 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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