Morse indices and the number of maximum points of some solutions to a two-dimensional elliptic problem

DOI10.1007/S00013-009-0021-8zbMath1173.35501OpenAlexW2080902914MaRDI QIDQ842360

Futoshi Takahashi

Publication date: 25 September 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: http://dlisv03.media.osaka-cu.ac.jp/contents/osakacu/kiyo/111F0000020-08-14.pdf

zbMATH Keywords

Morse indexsemilinear elliptic equationmaximum point

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Cites Work

• Classification of solutions of some nonlinear elliptic equations
• Concentrating solutions for a planar elliptic problem involving nonlinearities with large exponent
• Morse index and blow-up points of solutions of some nonlinear problems
• On a Two-Dimensional Elliptic Problem with Large Exponent in Nonlinearity
• Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity
• Asymptotic Estimates and Qualitative Properties of an Elliptic Problem in Dimension Two
• Single-point condensation and least-energy solutions

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