Generation of infinitely many solutions of semilinear elliptic equation in two dimensional annulus

DOI10.1080/03605309608821181zbMath0852.35050OpenAlexW1995546267MaRDI QIDQ4872524

Noriko Mizoguchi

Publication date: 15 December 1996

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309608821181

zbMATH Keywords

mountain pass theoreminfinitely many solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (3)

Symmetric and asymmetric solutions of \(p\)-Laplace elliptic equations in hollow domains ⋮ Least energy solutions of the Emden-Fowler equation in hollow thin symmetric domains ⋮ Multiple positive solutions of the Emden-Fowler equation in hollow thin symmetric domains

Cites Work

• A nonlinear boundary value problem with many positive solutions
• Symmetry and related properties via the maximum principle
• Nonradial solutions of semilinear elliptic equations on annuli
• Existence of many positive solutions of semilinear equations on annulus
• A Geometric Description of the Neighbourhood of a Critical Point Given by the Mountain-Pass Theorem
• Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
• On a Two-Dimensional Elliptic Problem with Large Exponent in Nonlinearity

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