On elliptic problems with Choquard term and singular nonlinearity

Autor: Choudhuri, Debajyoti, Repovš, Dušan D., Saoudi, Kamel
Rok vydání: 2023
Předmět:
Zdroj: Asymptot. Anal. 133:1-2 (2023), 255-266
Druh dokumentu: Working Paper
DOI: 10.3233/ASY-221812
Popis: Using variational methods, we establish the existence of infinitely many solutions to an elliptic problem driven by a Choquard term and a singular nonlinearity. We further show that if the problem has a positive solution, then it is bounded a.e. in the domain $\Omega$ and is H\"{o}lder continuous.
Databáze: arXiv