Existence of multiple solutions for a singular and quasilinear equation

DOI10.1080/17476933.2014.981169zbMath1321.35031OpenAlexW1997973277MaRDI QIDQ5264626

M. Kratou, Kamel Saoudi

Publication date: 27 July 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2014.981169

zbMATH Keywords

multiplicityvariational methods\(N\)-Laplacian equationsingular equation

Mathematics Subject Classification ID

Variational methods for higher-order elliptic equations (35J35) Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (28)

Nonlocal p-Kirchhoff equations with singular and critical nonlinearity terms ⋮ A fractional \(p(x,\cdot)\)-Laplacian problem involving a singular term ⋮ The Nehari manifold approach for singular equations involving the p(x)-Laplace operator ⋮ A critical fractional elliptic equation with singular nonlinearities ⋮ Multiplicity results for the \(p(x)\)-Laplacian equation with singular nonlinearities and nonlinear Neumann boundary condition ⋮ The fibering map approach to a \(p(x)\)-Laplacian equation with singular nonlinearities and nonlinear Neumann boundary conditions ⋮ Multiplicity results for a class of singular elliptic equation involving sublinear Neumann boundary condition in \(\mathbb {R}^2\) ⋮ \(N\)-Laplacian equation with a nonlinear Neumann boundary condition and a singular nonlinearity ⋮ Three solutions for a semilinear elliptic boundary value problem ⋮ Multiplicity of positive solutions for a semilinear elliptic system with strongly coupled critical terms and concave nonlinearities ⋮ An exact estimate result for singular \(p\)-Laplacian equations with sign-changing potential ⋮ Existence and multiplicity of solutions for a quasilinear equation involving thep(x)-Laplace operator ⋮ A multiplicity results for a singular equation involving thep(x)-Laplace operator ⋮ The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator ⋮ The fibering map approach for a singular elliptic system involving the $p(x)$-Laplacian and nonlinear boundary conditions ⋮ Existence of solution for a singular fractional Laplacian problem with variable exponents and indefinite weights ⋮ A multiplicity results for a singular quasilinear elliptic equation ⋮ Multiple solutions of a nonlocal system with singular nonlinearities ⋮ Unnamed Item ⋮ A multiplicity results for a singular problem involving the fractionalp-Laplacian operator ⋮ A fractional Kirchhoff system with singular nonlinearities ⋮ A singular elliptic system involving the p(x)-Laplacian and generalized Lebesgue–Sobolev spaces ⋮ Existence of positive solutions for a class of singular and quasilinear elliptic problems with critical exponential growth ⋮ A singular system involving the fractional \(p\)-Laplacian operator via the Nehari manifold approach ⋮ Multiplicity results for the biharmonic equation with singular nonlinearity of super exponential growth in \(\mathbb{R}^4\) ⋮ Unnamed Item ⋮ REGULARITY AND MULTIPLICITY OF SOLUTIONS FOR A NONLOCAL PROBLEM WITH CRITICAL SOBOLEV-HARDY NONLINEARITIES ⋮ Existence and multiplicity of solutions for singular fractional elliptic system via the Nehari manifold approach

Cites Work

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• Regularity for a more general class of quasilinear equations
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• A strong maximum principle for some quasilinear elliptic equations
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• On a singular nonlinear dirichlet problem
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• MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SINGULAR AND CRITICAL ELLIPTIC PROBLEM IN ℝ²
• Boundary regularity for solutions of degenerate elliptic equations
• Elliptic Partial Differential Equations of Second Order
• On a dirichlet problem with a singular nonlinearity
• On the Fredholm alternative for the p-Laplacian at the first eigenvalue
• Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.

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