NON-RADIALLY SYMMETRIC SOLUTIONS FOR A SUPERLINEAR AMBROSETTI–PRODI TYPE PROBLEM IN A BALL

DOI10.1142/S0219199705001982zbMath1199.35093OpenAlexW2047515791MaRDI QIDQ3379450

P. N. Srikanth, Sanjiban Santra, Djairo Guedes de Figueiredo

Publication date: 6 April 2006

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199705001982

zbMATH Keywords

mountain pass theoremMorse indexconcentrationnon-radial solutions

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

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Cites Work

• Symmetry and related properties via the maximum principle
• Multiple solutions for a semilinear boundary value problem: a computational multiplicity proof.
• NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
• A Variational approach to superlinear elliptic problems
• Multiplicity results for an ode problem with even nonlinearity
• Selected new aspects of the calculus of variations in the large
• Multiplicity of non-radial solutions of critical elliptic problems in an annulus
• Symmetry breaking for a class of semilinear elliptic problems

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