A note on positive evanescent solutions for a certain class of elliptic problems

DOI10.1016/J.JMAA.2008.12.003zbMath1165.35015OpenAlexW2021208615MaRDI QIDQ1014681

Aleksandra Orpel, Smaïl Djebali

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.12.003

zbMATH Keywords

asymptotic behaviornonlinear elliptic equationpositive evanescent solutionssubsolution and supersolution method

Mathematics Subject Classification ID

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

Related Items (8)

Positive stationary solutions of convection-diffusion equations for superlinear sources ⋮ Uncountable sets of finite energy solutions for semilinear elliptic problems in exterior domains ⋮ Multiplicity of positive solutions for singular elliptic problems ⋮ A note on the existence and properties of evanescent solutions for nonlinear elliptic problems ⋮ EIGENVALUE PROBLEMS FOR SINGULAR ODES ⋮ Connected sets of positive solutions of elliptic systems in exterior domains ⋮ The continuous dependence on parameters of solutions for a class of elliptic problems on exterior domains ⋮ Increasing sequences of positive evanescent solutions of nonlinear elliptic equations

Cites Work

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• Bounded positive solutions of semilinear elliptic equations
• On radial solutions of certain semi-linear elliptic equations
• Positive solutions for second-order nonlinear differential equations
• On the existence of positive solutions of second order differential equations
• Existence of positive solutions of quasilinear elliptic equations
• Applications of phase plane analysis of a Liénard system to positive solutions of Schrödinger equations
• Positive solutions of quasilinear elliptic equations

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