On the sub-supersolution method for \(p(x)\)-Laplacian equations
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Publication:874973
DOI10.1016/j.jmaa.2006.07.093zbMath1206.35103OpenAlexW1983532634MaRDI QIDQ874973
Publication date: 10 April 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.2006.07.093
Variational methods involving nonlinear operators (47J30) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60)
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Cites Work
- Regularity, monotonicity and symmetry of positive solutions of \(m\)-Laplace equations
- Harnack inequalities, maximum and comparison principles, and regularity of positive solutions of \(m\)-Laplace equations
- On some variational problems
- \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations.
- The strong maximum principle revisited.
- Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems
- Four versus two solutions of semilinear elliptic boundary value problems
- Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Multiplicity results for some nonlinear elliptic equations
- Linear and quasilinear elliptic equations
- Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Quasilinear elliptic equations involving critical Sobolev exponents
- Boundary regularity for solutions of degenerate elliptic equations
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- A class of De Giorgi type and Hölder continuity
- SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
- On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
- The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
- 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
- Existence and uniqueness of positive solutions for some quasilinear elliptic problems
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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