On a PDE involving the variable exponent operator with nonlinear boundary conditions
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Publication:493311
DOI10.1007/s00009-014-0424-zzbMath1323.35043OpenAlexW1978920663MaRDI QIDQ493311
Publication date: 3 September 2015
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-014-0424-z
Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)
Related Items (7)
The fibering map approach to a \(p(x)\)-Laplacian equation with singular nonlinearities and nonlinear Neumann boundary conditions ⋮ Integral solution for a parabolic equation driven by the \(p(x)\)-Laplacian operator with nonlinear boundary conditions and \(L^1\) data ⋮ On variational inequalities with multivalued perturbing terms depending on gradients ⋮ Unnamed Item ⋮ Existence results for fractional \(p(x, . )\)-Laplacian problem via the Nehari manifold approach ⋮ The fibering map approach for a singular elliptic system involving the $p(x)$-Laplacian and nonlinear boundary conditions ⋮ Schrödinger p⋅–Laplace equations in RN involving indefinite weights and critical growth
Cites Work
- Unnamed Item
- Unnamed Item
- Existence of multiple solutions for an elliptic system with sign-changing weight functions
- A fibering map approach to a potential operator equation and its applications.
- On a PDE involving the \(\mathcal A_{p(\cdot )}\)-Laplace operator
- Combined effects in nonlinear problems arising in the study of anisotropic continuous media
- The Nehari manifold for a class of concave-convex elliptic systems involving the \(p\)-Laplacian and nonlinear boundary condition
- One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamics
- The local boundedness and Harnack inequality of \(p(x)\)-Laplace equation
- Positive periodic solutions for a system of anisotropic parabolic equations
- Overview of differential equations with non-standard growth
- Multiplicity results for a semi-linear elliptic equation involving sign-changing weight function
- The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
- Electrorheological fluids: modeling and mathematical theory
- Existence of multiple solutions for singular elliptic problems with nonlinear boundary conditions
- On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function
- A semilinear elliptic system involving nonlinear boundary condition and sign-changing weight function
- Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
- Some three–dimensional problems related to dielectric breakdown and polycrystal plasticity
- On a Class of Nonlinear Second-Order Differential Equations
- THE NEHARI MANIFOLD APPROACH FOR DIRICHLET PROBLEM INVOLVING THE p(x)-LAPLACIAN EQUATION
- Positive solutions for the p-Laplacian: application of the fibrering method
- On the Properties of Some Nonlinear Eigenvalues
- On nonlinear potential theory, and regular boundary points, for the p-Laplacian in N space variables
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Mathematical modeling of electrorheological materials
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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