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math.AP2015
Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
João Marcos do Ó, Olímpio H. Miyagaki, Marco Squassina
We investigate the existence of ground state solutions for a class of nonlinear scalar field equations defined on whole real line, involving a fractional Laplacian and nonlineariti…
math.AP2015★ 3 cited
Schrödinger-Poisson systems with a general critical nonlinearity
Jianjun Zhang, João Marcos do Ó, Marco Squassina
We consider a Schrödinger-Poisson system involving a general nonlinearity at critical growth and we prove the existence of positive solutions. The Ambrosetti-Rabinowitz condition i…