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
Multiplicity and concentration results for fractional Schrödinger system with steep potential wells
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DOI: 10.1016/j.jmaa.2019.03.021
Abstract: Abstract This paper is concerned with the fractional coupled Schrodinger system. By using the Nehari manifold and fibering map, we obtain the multiplicity and concentration of solutions for the given problem with steep potential wells,… read more here.
Keywords: steep potential; system; multiplicity concentration; potential wells ... See more keywords
Ground states for a linearly coupled indefinite Schrödinger system with steep potential well
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DOI: 10.1063/5.0051029
Abstract: In this paper, we study a class of linearly coupled Schrodinger systems with steep potential wells, which arises from Bose–Einstein condensates. The existence of positive ground states is investigated by exploiting the relation between the… read more here.
Keywords: states linearly; ground; linearly coupled; coupled indefinite ... See more keywords