Renormalized solutions for some nonlinear nonhomogeneous elliptic problems with Neumann boundary conditions and right hand side measure
Author(s) -
Elhoussine Azroul,
Mohamed Badr Benboubker,
Rachid Bouzyani,
Houssam Chrayteh
Publication year - 2020
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.41896
Subject(s) - neumann boundary condition , measure (data warehouse) , nonlinear system , radon measure , boundary (topology) , mathematics , mathematical analysis , boundary value problem , class (philosophy) , laplace transform , zero (linguistics) , laplace's equation , pure mathematics , physics , computer science , quantum mechanics , locally compact space , linguistics , philosophy , database , artificial intelligence
Our aim in this paper is to study the existence of renormalized solution for a class of nonlinear p(x)-Laplace problems with Neumann nonhomogeneous boundary conditions and diuse Radon measure data which does not charge the sets of zero p(.)-capacity
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