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For a class of p(x)-biharmonic operators with weights
Journal article   Peer reviewed

For a class of p(x)-biharmonic operators with weights

Khaled Kefi
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, Vol.113(2), pp.1557-1570
01/04/2019
DOI: https://doi.org/10.1007/s13398-018-0567-z

Abstract

Mathematics Multidisciplinary Sciences Physical Sciences Science & Technology Science & Technology - Other Topics
We study the fourth order nonlinear problem with a p(x)- biharmonic operators where . RN with N = 2 is a bounded domain with smooth boundary,., mu are positive real numbers, p1, p2, q and a are continuous functions on , V1 and V2 are weight functions in a generalized Lebesgue spaces Ls1(x)() and Ls2(x)() respectively such that V1 may change sign in and V2 = 0 on . We established an existence results using variational approaches and Ekeland's variational principle.

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