In this paper we are concerned with existence of positive solutions for an elliptic system with singular or strongly-singular terms. We overcome the difficulty given by the singular terms through an approximation scheme and controlling the approximated sequences of solutions with suitable barriers from above and from below. Besides this, in some particular case, we show that the unique energy solution of the singular system is a saddle point of a suitable functional.
An elliptic system with singular nonlinearities: Existence via non variational arguments / Boccardo, Lucio; Buccheri, Stefano; Alberto dos Santos, Carlos. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 1096-0813. - 516:1(2022). [10.1016/j.jmaa.2022.126490]
An elliptic system with singular nonlinearities: Existence via non variational arguments
Lucio Boccardo;Stefano Buccheri
;
2022
Abstract
In this paper we are concerned with existence of positive solutions for an elliptic system with singular or strongly-singular terms. We overcome the difficulty given by the singular terms through an approximation scheme and controlling the approximated sequences of solutions with suitable barriers from above and from below. Besides this, in some particular case, we show that the unique energy solution of the singular system is a saddle point of a suitable functional.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
