Multiplicity results for the \(p(x)\)-Laplacian equation with singular nonlinearities and nonlinear Neumann boundary condition

DOI10.1155/2016/3149482zbMath1459.35198OpenAlexW2551136081WikidataQ59124240 ScholiaQ59124240MaRDI QIDQ1656094

S. Alsadhan, Kamel Saoudi, M. Kratou

Publication date: 10 August 2018

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/3149482

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (11)

On a Kirchhoff singular \(p(x)\)-biharmonic problem with Navier boundary conditions ⋮ Positive solutions for anisotropic singular Dirichlet problems ⋮ On a class of singular anisotropic \((p, q)\)-equations ⋮ The Nehari manifold approach for singular equations involving the p(x)-Laplace operator ⋮ The fibering map approach to a \(p(x)\)-Laplacian equation with singular nonlinearities and nonlinear Neumann boundary conditions ⋮ On the existence of a weak solution for some singular \(p(x)\)-biharmonic equation with Navier boundary conditions ⋮ The fibering map approach for a singular elliptic system involving the $p(x)$-Laplacian and nonlinear boundary conditions ⋮ Existence and multiplicity results for a Steklov problem involving \((p(x), q(x))\)-Laplacian operator ⋮ A singular elliptic system involving the p(x)-Laplacian and generalized Lebesgue–Sobolev spaces ⋮ A Kirchhoff \(p(x)\)-biharmonic problem involving singular nonlinearities and Navier boundary conditions ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A multiplicity result for the \(p\)-Laplacian involving a parameter
• Multiplicity of positive solutions for a class of inhomogeneous Neumann problems involving the \(p(x)\)-Laplacian
• \(W^{1,p}_0\) versus \(C^1\) local minimizers for a singular and critical functional
• The conormal derivative problem for elliptic equations of variational type
• A convex-concave problem with a nonlinear boundary condition.
• Multiplicity results for a class of singular elliptic equation involving sublinear Neumann boundary condition in \(\mathbb {R}^2\)
• Multiplicity of positive solutions for a class of quasilinear nonhomogeneous Neumann problems
• Global multiplicity results for \(p(x)\)-Laplacian equation with nonlinear Neumann boundary condition.
• Multiple positive solutions for a quasilinear nonhomogeneous Neumann problems with critical Hardy exponents
• Local ``superlinearity and ``sublinearity for the \(p\)-Laplacian
• Boundary trace embedding theorems for variable exponent Sobolev spaces
• Existence and asymptotic behavior of positive solutions to \(p(x)\)-Laplacian equations with singular nonlinearities
• A multiplicity results for a singular equation involving thep(x)-Laplace operator
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• On the Fredholm alternative for the p-Laplacian at the first eigenvalue
• Existence of multiple solutions for a singular and quasilinear equation
• Regularity results for a class of functionals with non-standard growth
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

This page was built for publication: Multiplicity results for the \(p(x)\)-Laplacian equation with singular nonlinearities and nonlinear Neumann boundary condition