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Combined effects in nonlinear problems arising in the study of anisotropic continuous mediaRǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-We are concerned with the Lane-Emden-Fowler equation ▫$-\Delta = \lambda k(x)u^q \pm h(x)u^p$▫ in ▫$\Omega$▫, subject to the Dirichlet boundary condition ▫$u=0$▫ on ▫$\partial \Omega$▫, where ... ▫$\Omega$▫ is a smooth bounded domain in ▫${\mathbb R}^N$▫, ▫$k$▫ and ▫$h$▫ are variable potential functions, and ▫$0<q<1<p$▫. Our analysis combines monotonicity methods with variational arguments.Source: Nonlinear Analysis. Theory, Methods and Applications. - ISSN 0362-546X (Vol. 75, no. 3, 2012, str. 1524-1530)Type of material - article, component partPublish date - 2012Language - englishCOBISS.SI-ID - 16090201
Author
Rǎdulescu, Vicenţiu, 1958- |
Repovš, Dušan, 1954-
Topics
matematika |
parcialne diferencialne enačbe |
Lane-Emden-Fowlerjeva enačba |
bifurkacijski problem |
perturbacija |
pozitivna rešitev |
mathematics |
partial differential equations |
Lane-Emden-Fowler equation |
bifurcation problem |
anisotropic continuous media |
perturbation |
positive solution
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Rǎdulescu, Vicenţiu, 1958- | 29964 |
Repovš, Dušan, 1954- | 07083 |
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