✦ LIBER ✦

On the Morse critical groups for indefinite sublinear elliptic problems

✍ Scribed by Vitaly Moroz

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 141 KB
Volume: 52
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(02)00174-8

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✦ Synopsis

We consider the Dirichlet problem for the equation -u = u + m(x)u|u| q-2 + g(x; u), where q ∈ (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 problem are established.

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