Nonlinear elliptic equations in dimension two with potentials which can vanish at infinity

Abstract: We will focus on the existence of nontrivial solutions to the following nonlinear elliptic equation −∆u + V (x)u = f(u), x ∈ R2, where V is a nonnegative function which can vanish at infinity or be unbounded from above, and f have exponential growth range. The...

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Autor principal:	Santaria Leuyacc,Yony Raúl
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2019
Materias:	Nonlinear elliptic equations vanishing potentials Trudinger-Moser inequality.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200325
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spelling	oai:scielo:S0716-091720190002003252019-05-30Nonlinear elliptic equations in dimension two with potentials which can vanish at infinitySantaria Leuyacc,Yony Raúl Nonlinear elliptic equations vanishing potentials Trudinger-Moser inequality. Abstract: We will focus on the existence of nontrivial solutions to the following nonlinear elliptic equation −∆u + V (x)u = f(u), x ∈ R2, where V is a nonnegative function which can vanish at infinity or be unbounded from above, and f have exponential growth range. The proof involves a truncation argument combined with Mountain Pass Theorem and a Trudinger-Moser type inequality.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.2 20192019-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200325en10.4067/S0716-09172019000200325
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Nonlinear elliptic equations vanishing potentials Trudinger-Moser inequality.
spellingShingle	Nonlinear elliptic equations vanishing potentials Trudinger-Moser inequality. Santaria Leuyacc,Yony Raúl Nonlinear elliptic equations in dimension two with potentials which can vanish at infinity
description	Abstract: We will focus on the existence of nontrivial solutions to the following nonlinear elliptic equation −∆u + V (x)u = f(u), x ∈ R2, where V is a nonnegative function which can vanish at infinity or be unbounded from above, and f have exponential growth range. The proof involves a truncation argument combined with Mountain Pass Theorem and a Trudinger-Moser type inequality.
author	Santaria Leuyacc,Yony Raúl
author_facet	Santaria Leuyacc,Yony Raúl
author_sort	Santaria Leuyacc,Yony Raúl
title	Nonlinear elliptic equations in dimension two with potentials which can vanish at infinity
title_short	Nonlinear elliptic equations in dimension two with potentials which can vanish at infinity
title_full	Nonlinear elliptic equations in dimension two with potentials which can vanish at infinity
title_fullStr	Nonlinear elliptic equations in dimension two with potentials which can vanish at infinity
title_full_unstemmed	Nonlinear elliptic equations in dimension two with potentials which can vanish at infinity
title_sort	nonlinear elliptic equations in dimension two with potentials which can vanish at infinity
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200325
work_keys_str_mv	AT santarialeuyaccyonyraul nonlinearellipticequationsindimensiontwowithpotentialswhichcanvanishatinfinity
_version_	1718439849168470016

Nonlinear elliptic equations in dimension two with potentials which can vanish at infinity

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