On \(O(k)\)-invariant solutions of semilinear elliptic equations

DOI10.1016/j.jmaa.2013.10.051zbMath1312.35100OpenAlexW2091251844MaRDI QIDQ2019086

Yanyan Li

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.10.051

zbMATH Keywords

symmetryclassical solutionsemilinear elliptic equationqualitative result

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61)

Cites Work

• Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus
• Non-symmetric low-index solutions for a symmetric boundary value problem
• Partial symmetry of least energy nodal solutions to some variational problems
• Symmetry and nonexistence of low Morse index solutions in unbounded domains
• Symmetry and related properties via the maximum principle
• Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle
• Partial symmetry and asymptotic behavior for some elliptic variational problems
• Symmetry results for solutions of semilinear elliptic equations with convex nonlinearities
• A symmetry problem in potential theory
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Symmetry of solutions to semilinear elliptic equations via Morse index
• On the method of moving planes and the sliding method
• Continuous dependence of eigenvalues on the domain

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