A variational approach for a nonlocal and nonvariational elliptic problem

DOI10.1216/JIE-2010-22-4-549zbMath1222.35073MaRDI QIDQ548781

Giovany M. Figueiredo, Francisco Julio Sobreira de Araujo Correa

Publication date: 30 June 2011

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

mountain pass theoremnonlocal problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (12)

Positive solutions of a nonlocal and nonvariational elliptic problem ⋮ A non-local non-autonomous diffusion problem: linear and sublinear cases ⋮ An iterative method for non-autonomous nonlocal reaction-diffusion equations ⋮ Positive solutions for a nonlocal problem with a convection term and small perturbations ⋮ A priori bounds and existence of positive solutions to a p-Kirchhoff equations ⋮ Existence of solutions for a bi-nonlocal fractional \(p\)-Kirchhoff type problem ⋮ Unnamed Item ⋮ A variational approach for Kirchhoff-Carrier type non-local equation boundary value problems ⋮ Concentrated solution for some non-local and non-variational singularly perturbed problems ⋮ Continuums of positive solutions for classes of non-autonomous and non-local problems with strong singular term ⋮ Existence of solution to a nonlocal biharmonic problem with dependence on gradient and Laplacian ⋮ 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.
• On positive solutions of nonlocal and nonvariational elliptic problems
• Dual variational methods in critical point theory and applications
• Existence and multiplicity of positive solutions for the \(p\)-Laplacian with nonlocal coefficient
• On a class of nonlocal nonlinear elliptic problems
• Some remarks on non local elliptic and parabolic problems

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