Existence and nonexistence of solutions for quasilinear elliptic equations

DOI10.1006/jmaa.1999.6697zbMath0956.35055OpenAlexW2066278829MaRDI QIDQ1570199

Marcelo Montenegro, Marcos Montenegro

Publication date: 28 February 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6697

zbMATH Keywords

\(p\)-Laplaciancritical growth in the gradientexistence and nonexistence of solutionquasilinear elliptic degenerate equation

Mathematics Subject Classification ID

Related Items (23)

A priori estimates and existence of positive solutions for strongly nonlinear problems ⋮ Existence of positive bounded entire solutions for quasilinear elliptic equations ⋮ Bounded positive entire solutions of singular \(p\)-Laplacian equations ⋮ Existence and boundary behavior of solutions for boundary blow-up quasilinear elliptic problems with gradient terms ⋮ On a nonlinear elliptic system involving the (p(x),q(x))-Laplacian operator with gradient dependence ⋮ On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations ⋮ Nonlinear Operators, Fixed-Point Theorems, Nonlinear Equations ⋮ Influence of Gradient Terms on the Existence of Solutions to the Dirichlet Problem for p-Laplacian ⋮ A convex-concave problem with a nonlinear boundary condition. ⋮ Existence results for a class of the quasilinear elliptic equations with the logarithmic nonlinearity ⋮ Elliptic equations involving the \(p\)-Laplacian and a gradient term having natural growth ⋮ Existence of positive solutions for the \(p(x)\)-Laplacian equation ⋮ Existence of boundary blow-up solutions for a class of quasilinear elliptic systems with critical case ⋮ Existence of positive solutions for the \(p\)-Laplacian with \(p\)-gradient term ⋮ Some new results on the existence of bounded positive entire solutions for quasilinear elliptic equations ⋮ Entire positive solution to the system of quasilinear elliptic equations ⋮ Existence results for the \(p\)-Laplacian with nonlinear boundary conditions ⋮ A Neumann problem for quasilinear elliptic equations with logarithmic nonlinearity in a ball ⋮ On a regularized system of self-gravitating particles ⋮ Quasilinear equations with dependence on the gradient via mountain pass techniques in \(\mathbb R^N\) ⋮ Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms ⋮ Electrorheological Fluids Equations Involving Variable Exponent with Dependence on the Gradient via Mountain Pass Techniques ⋮ Existence, multicity and infinite solvability of positive solutions for one-dimensional \(p\)-Laplacian

Cites Work

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• Résolution de problèmes elliptiques quasilineaires
• Some remarks on a quasilinear elliptic boundary value problem
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• Boundary regularity for solutions of degenerate elliptic equations
• ON EQUATIONS OF THE FORM $ \Delta u = f(x, u, Du)$
• Quasilinear ellipticity and the ist eigenvalue
• $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result
• Invariant criteria for existence of solutions to second-order quasilinear elliptic equations
• On a class of quasilinear elliptic equations with quadratic growth in the gradient
• Nonlinear Degenerate Elliptic Partial Differential Equations with Critical Growth Conditions on the Gradient
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables

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