ON SOME NONLINEAR ELLIPTIC EQUATIONS WITH MEASURABLE BOUNDARY CONDITIONS IN ANISOTROPIC WEIGHTED SOBOLEV SPACES.

Autor: ALLA, SAID AIT DADA, AZRAIBI, OUIDAD, EL HAJI, BADR
Předmět:
Zdroj: Gulf Journal of Mathematics; 2024, Vol. 17 Issue 1, p130-141, 12p
Abstrakt: The novelty of this note is to establish existence result for the following anisotropic elliptic equation ... where the datum f ∈ L¹ (Ω) and ... and H (x,ϑ) ∈ L¹ (Ω). Furthermore only the large monotonicity conditions will be assumed on B(x; s; ξ). To overcome this difficulty we will use the approach of Minty's lemma in the anisotropic weighted Sobolev spaces. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index