2 research outputs found

    Existence of entropy solutions for some nonlinear problems in Orlicz spaces

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    We study in the framework of Orlicz Sobolev spaces W01LM(Ω), the existence of entropic solutions to the nonlinear elliptic problems: −div a(x,u,∇u)+div Φ(u)=f in Ω, for the case where the second member of the equation f∈L 1(Ω), and Φ∈(C0(ℝ))N

    Entropy and renormalized solutions of anisotropic elliptic equations with variable exponents of nonlinearities

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