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- W2972569439 abstract "This paper is concerned with the following quasilinear elliptic problem: −εΔ1u+V(x)u|u|=K(x)|u|p−1u, inRN,u∈BV(RN), where 0<p<1N−1, N≥2 and ε>0 is a small parameter. Under some mild conditions on the nonnegative functions V(x) and K(x), we establish the existence of a ground state solution uε for the above problem. Moreover, uε concentrates on the intersection set of global minimum points of V(x) and maximum points of K(x). The methods are based on the Nehari manifold technique and the Concentration-Compactness Principle of Lions." @default.
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- W2972569439 date "2020-02-01" @default.
- W2972569439 modified "2023-10-16" @default.
- W2972569439 title "Existence and concentration of positive ground states for a 1-Laplacian problem in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e35 altimg=si13.svg><mml:msup><mml:mrow><mml:mi mathvariant=double-struck>R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>" @default.
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- W2972569439 doi "https://doi.org/10.1016/j.aml.2019.106045" @default.
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