Uniqueness and bifurcation for semilinear elliptic equations on closed surfaces

DOI10.1007/s00526-009-0296-4zbMath1195.35142OpenAlexW2085144955MaRDI QIDQ982179

Daniele Bartolucci

Publication date: 6 July 2010

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-009-0296-4

zbMATH Keywords

semilinear elliptic equationsbifurcation analysisRiemannian manifold without boundary

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61)

Cites Work

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• Global and local behavior of positive solutions of nonlinear elliptic equations
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity

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