| Autor: |
Benboubker, Mohamed Badr, Benkhalou, Hayat, Hjiaj, Hassane, Nyanquini, Ismael |
| Zdroj: |
Rendiconti del Circolo Matematico di Palermo (Series 2); Jun2023, Vol. 72 Issue 4, p2831-2855, 25p |
| Abstrakt: |
This article is concerned with the study of entropy solutions to nonlinear Schrödinger-type equation of the form - div (a (x , | ∇ u |) ∇ u) + | u | p (x) - 2 u = f (x , u) in Ω λ u + a (x , | ∇ u |) ∇ u. η = g on ∂ Ω , where Ω is a bounded open subset in I R N ( N ≥ 3 ) with Lipschitz boundary ∂ Ω , η is the outer unit normal vector on ∂ Ω , the exponent p(.) is a continuous function such that 1 < p (x) < N and λ > 0 . Under a suitable condition on f and g ∈ L 1 (∂ Ω) , we prove the existence of entropy solutions for a Schrödinger type equation in the context of Sobolev spaces with variable exponents. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
Full text from SpringerLink