Multiple Positive Solutions for Kirchhoff-Type Problems Involving Supercritical and Critical Terms
Qualitative Theory of Dynamical Systems(2024)
摘要
We investigate the multiplicity results of positive solutions for a Kirchhoff-type problems with supercritical and critical nonlinear terms in a ball. By employing the Nehari method and Lusternik–Schnirelmann category theory to an auxiliary problems, we note that there is a relationship between the number of maxima in the coefficient function of the critical term and the number of positive solutions for the problems.
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关键词
Kirchhoff problems,Multiple positive solutions,Critical exponents,Supercritical terms,35J35,35J60,35B33
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