Uniqueness in \(W_{\mathrm{loc}}^{1, p (x)}(\Omega)\) and continuity up to portions of the boundary of positive solutions for a strongly-singular elliptic problem
type: Item
instance of: scholarly article
title: Uniqueness in \(W_{\mathrm{loc}}^{1, p (x)}(\Omega)\) and continuity up to portions of the boundary of positive solutions for a strongly-singular elliptic problem
zbMATH Open document ID: 1453.35102
author: Carlos A. Santos
author: Thiago Willians Siqueira
author: Claudianor O. Alves
published in: Journal of Differential Equations
publication date: 2020-10-13T00:00:00Z
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 7260137
zbMATH Keywords: \(p(x)\)-Laplacian
zbMATH Keywords: existence of solutions
zbMATH Keywords: uniqueness of solutions
MaRDI profile type: Publication
full work available at URL: j.jde.2020.08.038
OpenAlex ID: W3089205950
cites work: Existence of solutions for a class of singular elliptic systems with convection term
cites work: Semilinear elliptic equations with singular nonlinearities
cites work: Some regularity results for a singular elliptic problem
cites work: Remarks on sublinear elliptic equations
cites work: Global \(C^{1,\alpha}\) regularity and existence of multiple solutions for singular \(p(x)\)-Laplacian equations
cites work: Some singular, nonlinear differential equations arising in boundary layer theory
cites work: An analytical solution of a nonlinear, singular boundary value problem in the theory of viscous fluids
cites work: A Nonlinear Singular Boundary Value Problem in the Theory of Pseudoplastic Fluids
cites work: A uniqueness result for some singular semilinear elliptic equations
cites work: Existence and uniqueness for \(p\)-Laplace equations involving singular nonlinearities
cites work: A singular semilinear elliptic equation with a variable exponent
cites work: Quasilinear elliptic systems with convex-concave singular terms and \(\Phi\)-Laplacian operator.
cites work: Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
cites work: Existence of solutions to a class of semilinear elliptic problem with nonlinear singular terms and variable exponent
cites work: Variable Exponent, Linear Growth Functionals in Image Restoration
cites work: On a dirichlet problem with a singular nonlinearity
cites work: Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems
cites work: Nonlinear elliptic equations with singular nonlinearities
cites work: Q3803507
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
cites work: A class of De Giorgi type and Hölder continuity
cites work: Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
cites work: Some remarks on the regularity of minima of anisotropic integrals
cites work: Elliptic partial differential equations of second order
cites work: Linear and quasilinear elliptic equations
cites work: On a Singular Nonlinear Elliptic Boundary-Value Problem
cites work: Positive solutions of the \(p\)-Laplace equation with singular nonlinearity
cites work: A Lazer-McKenna type problem with measures.
cites work: An Introduction to Partial Differential Equations
cites work: The role of the power 3 for elliptic equations with negative exponents
cites work: Global \(L^\infty\)-estimates and Hölder continuity of weak solutions to elliptic equations with the general nonstandard growth conditions
cites work: A strong maximum principle for differential equations with nonstandard \(p(x)\)-growth conditions
cites work: Existence and asymptotic behavior of positive solutions to \(p(x)\)-Laplacian equations with singular nonlinearities
cites work: Existence and optimal estimates of solutions for singular nonlinear Dirichlet problems
DOI: 10.1016/J.JDE.2020.08.038
description: scientific article; zbMATH DE number 7260137