Existence of Solutions to the $A$-Laplace System via Young Measures

Farah Balaadich; Elhoussine Azroul

doi:10.4171/zaa/1684

JournalszaaVol. 40, No. 3pp. 261–276

Existence of Solutions to the $A$ -Laplace System via Young Measures

Farah Balaadich
Université Sidi Mohamed Ben Abdellah, Fès, Morocco
Elhoussine Azroul
Université Sidi Mohamed Ben Abdellah, Fès, Morocco

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Abstract

We study the existence of solutions for the $A$ -Laplace system of the form

{- Δ_{A} u u = f = 0 in Ω, on \partial Ω,

where $- Δ_{A} u := - div (a (∣ D u ∣) D u)$ . The existence result is proved by using the technique of Young measures.

Cite this article

Farah Balaadich, Elhoussine Azroul, Existence of Solutions to the $A$ -Laplace System via Young Measures. Z. Anal. Anwend. 40 (2021), no. 3, pp. 261–276

DOI 10.4171/ZAA/1684