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- W2118121916 abstract "Using minimax methods and Lusternik-Schnirelmann theory, we study multiple positive solutions for the Schr{o}dinger - Kirchhoff equation $$ Mleft(disint_{Omega_{lambda}}|nabla u|^{2}dx+disint_{Omega_{lambda}}u^{2}dxright)left[-Delta u + u right]= f(u) $$ in $Omega_{lambda} = lambdaOmega$. The set $Omega subset mathbb{R}^3$ is a smooth bounded domain, $lambda>0$ is a parameter, $M$ is a general continuous function and $f$ is a superlinear continuous function with subcritical growth. Our main result relates, for large values of $lambda$, the number of solutions with the least number of closed and contractible in $bar{Omega}$ which cover $bar{Omega}$." @default.
- W2118121916 created "2016-06-24" @default.
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- W2118121916 date "2013-04-16" @default.
- W2118121916 modified "2023-09-27" @default.
- W2118121916 title "The effect of the domain topology on the number of positive solutions of an elliptic Kirchhoff problem" @default.
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