Combined effects in nonlinear problems arising in the study of anisotropic continuous media

By V. Ruadulescu, Dušan D. Repovš. 2016

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paper Abstract We are concerned with the Lane-Emden-Fowler equation − ∆ u = λk ( x ) u q ± h ( x ) u p in Ω, subject to the Dirichlet boundary condition u = 0 on ∂ Ω, where Ω is a smooth bounded domain in R N , k and h are variable potential functions, and 0 < q < 1 < p . Our analysis combines monotonicity methods with variational arguments. 2010 Mathematics Subject Classification: 35A05, 35B40, 35J60, 58E05.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

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