Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이종락 | - |
dc.date.accessioned | 2020-04-13T16:30:17Z | - |
dc.date.available | 2020-04-13T16:30:17Z | - |
dc.date.issued | 2020 | - |
dc.identifier.issn | 2073-8994 | - |
dc.identifier.other | OAK-26718 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/253787 | - |
dc.description.abstract | We are concerned with the following elliptic equations: (-Delta)p,Ksu+V(x) | - |
dc.description.abstract | u | - |
dc.description.abstract | p-2u=lambda f(x,u), where (-Delta)p,Ks is the nonlocal integrodifferential equation with 0<s<1<p<+infinity, sp<N the potential function V:RN ->(0,infinity) is continuous, and f:RNxR -> R satisfies a Caratheodory condition. The present paper is devoted to the study of the L infinity-bound of solutions to the above problem by employing De Giorgi's iteration method and the localization method. Using this, we provide a sequence of infinitely many small-energy solutions whose L infinity-norms converge to zero. The main tools were the modified functional method and the dual version of the fountain theorem, which is a generalization of the symmetric mountain-pass theorem. | - |
dc.language | English | - |
dc.publisher | MDPI | - |
dc.subject | non-local integrodifferential operators | - |
dc.subject | De Giorgi iteration | - |
dc.subject | modified functional methods | - |
dc.subject | dual fountain theorem | - |
dc.title | Existence of Small-Energy Solutions to Nonlocal Schrodinger-Type Equations for Integrodifferential Operators in R-N | - |
dc.type | Article | - |
dc.relation.issue | 1 | - |
dc.relation.volume | 12 | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.journaltitle | SYMMETRY-BASEL | - |
dc.identifier.doi | 10.3390/sym12010005 | - |
dc.identifier.wosid | WOS:000516823700005 | - |
dc.author.google | Lee, Jun Ik | - |
dc.author.google | Kim, Yun-Ho | - |
dc.author.google | Lee, Jongrak | - |
dc.contributor.scopusid | 이종락(21739984600) | - |
dc.date.modifydate | 20220112111653 | - |