Existence and non-existence of solutions for a class of Monge-Ampère equations
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Publication:1014728
DOI10.1016/J.JDE.2009.01.004zbMath1165.35023OpenAlexW2086651357MaRDI QIDQ1014728
Publication date: 29 April 2009
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2009.01.004
Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32)
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Cites Work
- Variational problems and elliptic Monge-Ampère equations
- Radially symmetric boundary value problems for real and complex elliptic Monge-Ampère equations
- Symmetry and related properties via the maximum principle
- On bifurcation, critical groups and exact multiplicity of solutions to semilinear elliptic boundary value problems
- On bifurcation from infinity
- Finite Morse index solutions of exponential problems
- Bifurcation from simple eigenvalues
- On a real Monge-Ampère functional
- Metric and isoperimetric problems in symplectic geometry
- Methods in Nonlinear Analysis
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