Semilinear elliptic equations in unbounded domains of Rn

DOI10.1017/S0308210500017327zbMath0456.35033MaRDI QIDQ3905802

Patrizia Donato, Lucia Migliaccio, Rosanna Schianchi

Publication date: 1981

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

fixed pointssemilinear elliptic equationsdistributionsweighted Sobolev spacesmultiplicity resultspositive mappings

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fixed-point theorems (47H10)

Related Items (1)

Quasilinear elliptic equations with quadratic growth in unbounded domains

Cites Work

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• Existence and multiplicity theorems for semi-linear elliptic boundary value problems
• Über semilineare elliptische Differentialgleichungen zweiter Ordnung
• Über quasilineare elliptische Differentialgleichungen in der Ebene
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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