Symmetry breaking and existence of many positive nonsymmetric solutions for semi-linear elliptic equations on finite cylindrical domains

DOI10.1016/S0362-546X(96)00324-0zbMath0892.35024MaRDI QIDQ4370022

Yi-Wen Shih

Publication date: 14 July 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

mixed boundary conditionsmultiple solutionssymmetric solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Bifurcations in context of PDEs (35B32)

Cites Work

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• On the existence of positive radial solutions for nonlinear elliptic equations in annular domains
• Symmetry and nodal properties in the global bifurcation analysis of quasi-linear elliptic equations
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• Multiple eigenvalue bifurcation for Fredholm operators.
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• Symmetry-Breakings for Semilinear Elliptic Equations on Finite Cylindrical Domains

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