Nonlinear anisotropic elliptic equations in     R    N     with variable exponents and locally integrable data | Zendy

Mokhtari Fares | Zendy

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Nonlinear anisotropic elliptic equations in R N with variable exponents and locally integrable data

Author(s) -

Mokhtari Fares

Publication year - 2017

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4137

Subject(s) - sobolev space , mathematics , smoothness , sobolev inequality , integrable system , mathematical analysis , anisotropy , nonlinear system , lp space , critical exponent , variable (mathematics) , pure mathematics , lebesgue integration , compact space , banach space , geometry , physics , quantum mechanics , scaling

In this paper, we prove existence and regularity results for weak solutions in the framework of anisotropic Sobolev spaces for a class of nonlinear anisotropic elliptic equations in the wholeR Nwith variable exponents and locally integrable data. Our approach is based on the anisotropic Sobolev inequality, a smoothness, and compactness results. The functional setting involves Lebesgue–Sobolev spaces with variable exponents. Copyright © 2016 John Wiley & Sons, Ltd.

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