Runge property and multiplicity of solutions for elliptic equations in \({\mathbb{R}}^ N\) with a monotone nonlinearity

DOI10.1007/BF01171705zbMath0608.35020OpenAlexW2045309877MaRDI QIDQ1086426

Jean-Michel Morel

Publication date: 1986

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155107

zbMATH Keywords

linearizationhomotopy methodinfinitely many solutionsmultiplicity resultsmonotone nonlinearitysemilinearRunge property

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Theoretical approximation in context of PDEs (35A35)

Related Items (2)

The equation −Δu+|u|α−1u=f, for0 ⩽ α ⩽ 1 ⋮ Runge property and approximation by complete systems of solutions for strongly elliptic equations

Cites Work

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• A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations
• Resolution of a semilinear equation in L¹
• Elliptic Partial Differential Equations of Second Order
• On the behavior of the solutions of the differential equation ΔU = F(x,u) in the neighborhood of a point

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