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Quasilinear elliptic problems with nonstandard growth.

Benboubker, Mohamed Badr; Azroul, Elhoussine; Barbara, Abdelkrim — 2011

Electronic Journal of Differential Equations (EJDE) [electronic only]

Entropy solutions for nonhomogeneous anisotropic $Δ_{p ⃗ (\cdot)}$ problems

Elhoussine Azroul; Abdelkrim Barbara; Mohamed Badr Benboubker; Hassane Hjiaj — 2014

Applicationes Mathematicae

We study a class of anisotropic nonlinear elliptic equations with variable exponent p⃗(·) growth. We obtain the existence of entropy solutions by using the truncation technique and some a priori estimates.

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Quasilinear elliptic problems with nonstandard growth.

Entropy solutions for nonhomogeneous anisotropic Δ p ⃗ ( · ) problems

Entropy solutions for nonhomogeneous anisotropic $Δ_{p ⃗ (\cdot)}$ problems