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math.AP2015★ 1 cited
A logarithmic Schrödinger equation with asymptotic conditions on the potential
Chao Ji, Andrzej Szulkin
In this paper we consider a class of logarithmic Schrödinger equations with a potential which may change sign. When the potential is coercive, we obtain infinitely many solutions b…
math.AP2015
Ground states of critical and supercritical problems of Brezis-Nirenberg type
Mónica Clapp, Angela Pistoia, Andrzej Szulkin
We study the existence of symmetric ground states to the supercritical problem \[ -Δv=λv+\left\vert v\right\vert ^{p-2}v\text{ \ in }Ω,\qquad v=0\text{ on }\partialΩ, \] in a domai…