Concentration of ground state solutions for critical generalized quasilinear equation with steep potential well
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DOI: 10.1002/mma.10334
Abstract: In this work, we are looking at the generalized quasilinear Schrödinger equations with critical growth and a steep potential well: −divg2(u)∇u+g(u)g′(u)|∇u|2+(λV(x)+1)u=|u|αp−2u+|u|α2∗−2u,x∈ℝN,$$ -\operatorname{div}\left({g}^2(u)\nabla u\right)+g(u){g}^{\prime }(u){\left|\nabla u\right|}^2+\left(\lambda V(x)+1\right)u={\left|u\right|}^{\alpha p-2}u+{\left|u\right|}^{\alpha {2}^{\ast }-2}u,\kern0.30em x\in {\mathrm{\mathbb{R}}}^N, $$ where λ>0,α∈[1,2],2 read more here.
Keywords: x0005e; steep potential; potential well; x0002b ... See more keywords