Quasilinear equations with dependence on the gradient via mountain pass techniques in \(\mathbb R^N\)

DOI10.1016/J.AMC.2008.04.012zbMath1161.35389OpenAlexW2082074710MaRDI QIDQ2518684

Giovany M. Figueiredo

Publication date: 16 January 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.04.012

zbMATH Keywords

iteration methodsmountain passquasilinear equations with dependence on the gradient

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

Existence of solution to Kirchhoff type problem with gradient nonlinearity and a perturbation term ⋮ Unnamed Item ⋮ On a nonlinear elliptic system involving the (p(x),q(x))-Laplacian operator with gradient dependence ⋮ Sign-changing solutions for semilinear elliptic equations with dependence on the gradient via the Nehari method ⋮ Positive solutions for a nonlocal problem with a convection term and small perturbations ⋮ Multiple solutions for some quasilinear equation of \(N\)-Laplacian type and containing a gradient term ⋮ Existence of positive solutions for the \(p\)-Laplacian with \(p\)-gradient term ⋮ Positive solution for a quasilinear equation with critical growth in $\mathbb {R}^N$ ⋮ Electrorheological Fluids Equations Involving Variable Exponent with Dependence on the Gradient via Mountain Pass Techniques ⋮ Existence of positive solutions for a nonlocal problem with dependence on the gradient

Cites Work

• Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques.
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• On periodic elliptic equations with gradient dependence
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• A priori estimates and existence of positive solutions for strongly nonlinear problems
• Existence of multiple solutions to nonlinear elliptic equations of nondivergence form
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Existence and multiplicity results for degenerate elliptic equations with dependence on the gradient
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Some properties of weak solutions of nonlinear scalar field equations
• Some existence theorems for equations of the form
• Existence of positive solutions for m-Laplacian equations in N involving critical Sobolev exponents
• A note on the solvability in for the equation −Δu = f(x, u, Du)
• Existence and uniqueness of positive solution of a logistic equation with nonlinear gradient term

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