Bounded Solutions of Elliptic BVPs in Exterior Domain

DOI10.1080/1630560500451595zbMath1330.35157OpenAlexW2055049569MaRDI QIDQ3377965

Aleksandra Orpel

Publication date: 29 March 2006

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1630560500451595

zbMATH Keywords

variational principleEuler-Lagrange equationduality methoddependence on functional parameters

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for second-order elliptic equations (35J20) Existence theories for free problems in one independent variable (49J05)

Related Items (3)

EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR p-LAPLACIAN PROBLEMS WITH A GENERAL INDEFINITE WEIGHT ⋮ Existence of positive solutions for singular boundary value problems involving the one-dimensional \(p\)-Laplacian ⋮ Positive radial symmetric solutions to an exterior elliptic Robin boundary-value problem and application

Cites Work

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• Bounded Solutions for Nonlinear Elliptic Equations in Unbounded Domains
• Existence and nonexistence of positive radial solutions of an elliptic Dirichlet problem in an exterior domain
• Existence of multiple positive solutions of singular boundary value problems
• Existence and comparison results for quasilinear elliptic equations with critical growth in the gradient

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