Nontrivial solutions for Kirchhoff type equations via Morse theory
نویسندگان
چکیده
منابع مشابه
Nontrivial solutions of Kirchhoff type problems
In this paper, we study Kirchhoff type problems on a bounded domain. We consider the cases that the nonlinearity is superlinear near zero but asymptotically 4-linear at infinity, and the nonlinearity is asymptotically linear near zero but 4-superlinear at infinity. By computing the relevant critical groups, we obtain nontrivial solutions via Morse theory.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Analysis
سال: 2013
ISSN: 1534-0392
DOI: 10.3934/cpaa.2014.13.483