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arXiv · 1504.07291

Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity

João Marcos do Ó·Olímpio H. Miyagaki·Marco Squassina
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Abstract

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 nonlinearities with Trudinger-Moser critical growth. We handle the lack of compactness of the associated energy functional due to the unboundedness of the domain and the presence of a limiting case embedding.

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João Marcos do Ó, Olímpio H. Miyagaki, Marco Squassina. 2015-04-27. Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity. https://arxiv.org/abs/1504.07291

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