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- W2323648712 abstract "We are concerned with the existence of single- and multi-bump solutions of the equation $-Delta u+(lambda a(x)+a_0(x))u=|u|^{p-2}u$, $xin{mathbb R}^N$; here $p>2$, and $p0$ for $xin{mathbb R}^N$$bar{Omega}$. Unlike most other papers on this problem we allow that $a_0in L^infty({mathbb R}^N)$ changes sign. Using variational methods we prove the existence of multibump solutions $u_lambda$ which localize, as $lambdatoinfty$, near prescribed isolated open subsets $Omega_1,dots,Omega_ksubsetOmega$. The operator $L_0:=-Delta+a_0$ may have negative eigenvalues in $Omega_j$, each bump of $u_lambda$ may be sign-changing." @default.
- W2323648712 created "2016-06-24" @default.
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- W2323648712 date "2013-01-01" @default.
- W2323648712 modified "2023-10-17" @default.
- W2323648712 title "Multibump solutions of nonlinear Schrödinger equations with steep potential well and indefinite potential" @default.
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- W2323648712 doi "https://doi.org/10.3934/dcds.2013.33.7" @default.
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