Morse theory for indefinite nonlinear elliptic problems
Kung-Ching Chang
LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, PR ChinaMei-Yue Jiang
LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, PR China
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Abstract
Using the heat flow as a deformation, a Morse theory for the solutions of the nonlinear elliptic equation:
in a bounded domain with the Dirichlet boundary condition is established, where , , , and . Various existence and multiplicity results of solutions are presented.
Cite this article
Kung-Ching Chang, Mei-Yue Jiang, Morse theory for indefinite nonlinear elliptic problems. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 1, pp. 139–158
DOI 10.1016/J.ANIHPC.2007.08.004