The role of the boundary in some semilinear Neumann problems

zbMath0814.35037MaRDI QIDQ2366587

Giovanni Mancini, Roberta Musina

Publication date: 30 August 1993

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1992__88__127_0

zbMATH Keywords

concentration compactnesssemilinear Neumann problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items

Morse theory and multiple positive solutions to a Neumann problem, Positive solutions for a mixed boundary problem, On the existence of multipeaked solutions to a semilinear Neumann problem, Multiple sign-changing solutions for a semilinear Neumann problem and the topology of the configuration space of the domain boundary, Non existence of bounded-energy solutions for some semilinear elliptic equations with a large parameter

Cites Work

• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• The effect of domain shape on the number of positive solutions of certain nonlinear equations
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• Existence and multiplicity of positive solutions for nonlinear elliptic problems in exterior domains with “rich” topology
• Remarks on some quasilinear elliptic equations
• Positive solutions of nonlinear elliptic equations with critical Sobolev exponent and mixed boundary conditions
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