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The Dirichlet problem with sublinear indefinite nonlinearities

โœ Scribed by Shumao Liu


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
344 KB
Volume
73
Category
Article
ISSN
0362-546X

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On the Morse critical groups for indefin
โœ Vitaly Moroz ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 141 KB

We consider the Dirichlet problem for the equation -u = u + m(x)u|u| q-2 + g(x; u), where q โˆˆ (1; 2) and m changes sign. We prove that the Morse critical groups at zero of the energy functional of the problem are trivial. As a consequence, existence and bifurcation of nontrivial solutions of the pro