Existence of solutions for an elliptic equation involving the p(x)-Laplace operator

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dc.contributor.authorBoureanu, Maria-Magdalena
dc.date.accessioned2021-07-20T13:25:32Z
dc.date.available2021-07-20T13:25:32Z
dc.date.issued2006-08-22
dc.description.abstractIn this paper we study an elliptic equation involving the p(x)-Laplace operator on the whole space ℝN. For that equation we prove the existence of a nontrivial weak solution using as main argument the mountain pass theorem of Ambrosetti and Rabinowitz.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBoureanu, M. M. (2006). Existence of solutions for an elliptic equation involving the p(x)-Laplace operator. <i>Electronic Journal of Differential Equations, 2006</i>(97), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13970
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectp(x)-Laplace operator
dc.subjectSobolev space with variable exponent
dc.subjectMountain Pass Theorem
dc.subjectWeak solution
dc.titleExistence of solutions for an elliptic equation involving the p(x)-Laplace operator
dc.typeArticle

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