On Existence of L∞-Ground States for Singular Elliptic Equations in the Presence of a Strongly Nonlinear Term

DOI10.1515/ans-2007-0308zbMath1142.35030OpenAlexW2513016719MaRDI QIDQ5426665

Carlos Alberto Santos, A. L. Melo, José Valdo A. Goncalves

Publication date: 13 November 2007

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2007-0308

zbMATH Keywords

asymptotic behaviorsingular elliptic equationmixed powerssuperlinear power

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

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Cites Work

• Unnamed Item
• Singular elliptic problems: existence, non-existence and boundary behavior
• A remark on the existence of positive entire solutions of a sublinear elliptic problem
• Classical and weak solutions of a singular semilinear elliptic problem
• Structure of ground state solutions of singular semilinear elliptic equations.
• On a singular nonlinear dirichlet problem
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• A nonlinear singular boundary value problem
• Nonlinear classical diffusion in a contained plasma
• On a singular nonlinear semilinear elliptic problem
• Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.

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