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

dc.creatorSantaria Leuyacc, Yony Raúl
dc.date2019-05-31
dc.date.accessioned2019-11-14T12:01:19Z
dc.date.available2019-11-14T12:01:19Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/3579
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/113692
dc.descriptionWe 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.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttps://www.revistaproyecciones.cl/article/view/3579/3172
dc.rightsDerechos de autor 2019 Proyecciones. Revista de Matemáticaes-ES
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0es-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 38 No 2 (2019); 325-351en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 38 Núm. 2 (2019); 325-351es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectNonlinear elliptic equationsen-US
dc.subjectVanishing potentialsen-US
dc.subjectTrudingerMoser inequalityen-US
dc.subjectNonlinear elliptic equationsen-US
dc.subjectVariational methods for second-order elliptic equationsen-US
dc.subjectSecond-order elliptic equationsen-US
dc.titleNonlinear elliptic equations in dimension two with potentials which can vanish at infinity.en-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES
dc.typetexten-US


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