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
From MaRDI portal
Publication:2003961
DOI10.1016/j.jde.2020.08.038zbMath1453.35102OpenAlexW3089205950MaRDI QIDQ2003961
Thiago Willians Siqueira, Carlos Alberto Santos, Claudianor Oliveira Alves
Publication date: 13 October 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2020.08.038
Boundary value problems for second-order elliptic equations (35J25) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (6)
On an anisotropic \(p\)-Laplace equation with variable singular exponent ⋮ Existence of solution for a class of integro-differential sublinear problems with strong singularity ⋮ Existence of solutions to semilinear elliptic equations with variable exponent singularity ⋮ Trace inequalities of the Sobolev type and nonlinear Dirichlet problems ⋮ Existence and multiple of solutions for a class integro-differential equations with singular term via variational and Galerkin methods ⋮ Existence of solution for a singular elliptic system with convection terms
Cites Work
- Unnamed Item
- Some regularity results for a singular elliptic problem
- A Lazer-McKenna type problem with measures.
- Existence and uniqueness for \(p\)-Laplace equations involving singular nonlinearities
- Existence of solutions to a class of semilinear elliptic problem with nonlinear singular terms and variable exponent
- A singular semilinear elliptic equation with a variable exponent
- Lebesgue and Sobolev spaces with variable exponents
- Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
- Positive solutions of the \(p\)-Laplace equation with singular nonlinearity
- Some singular, nonlinear differential equations arising in boundary layer theory
- Elliptic partial differential equations of second order
- Quasilinear elliptic systems with convex-concave singular terms and \(\Phi\)-Laplacian operator.
- Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
- Existence and optimal estimates of solutions for singular nonlinear Dirichlet problems
- Semilinear elliptic equations with singular nonlinearities
- Global \(L^\infty\)-estimates and Hölder continuity of weak solutions to elliptic equations with the general nonstandard growth conditions
- Global \(C^{1,\alpha}\) regularity and existence of multiple solutions for singular \(p(x)\)-Laplacian equations
- The role of the power 3 for elliptic equations with negative exponents
- Existence and asymptotic behavior of positive solutions to \(p(x)\)-Laplacian equations with singular nonlinearities
- Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
- Linear and quasilinear elliptic equations
- An analytical solution of a nonlinear, singular boundary value problem in the theory of viscous fluids
- A strong maximum principle for differential equations with nonstandard \(p(x)\)-growth conditions
- A uniqueness result for some singular semilinear elliptic equations
- Nonlinear elliptic equations with singular nonlinearities
- On a Singular Nonlinear Elliptic Boundary-Value Problem
- Remarks on sublinear elliptic equations
- A Nonlinear Singular Boundary Value Problem in the Theory of Pseudoplastic Fluids
- On a dirichlet problem with a singular nonlinearity
- Some remarks on the regularity of minima of anisotropic integrals
- A class of De Giorgi type and Hölder continuity
- Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems
- An Introduction to Partial Differential Equations
- Existence of solutions for a class of singular elliptic systems with convection term
- Variable Exponent, Linear Growth Functionals in Image Restoration
This page was built for publication: 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