Existence results and a priori estimates for solutions of quasilinear problems with gradient terms

• Autorzy: Filippucci Roberta , Lini Chiara

Identyfikatory

DOI

10.7494/OpMath.2019.39.2.195

• Języki publikacji: EN

Abstrakty

EN

In this paper we establish a priori estimates and then an existence theorem of positive solutions for a Dirichlet problem on a bounded smooth domain in [formula] with a nonlinearity involving gradient terms. The existence result is proved with no use of a Liouviiie theorem for the limit problem obtained via the usual blow up method, in particular we refer to the modified version by Ruiz. In particular our existence theorem extends a result by Lorca and Ubilla in two directions, namely by considering a nonlinearity which includes in the gradient term a power of u and by removing the growth condition for the nonlinearity ∫ at u = 0.

Słowa kluczowe

EN

existence result; quasilinear problems; a priori estimates

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2019
• Tom: Vol. 39, no. 2
• Strony: 195--205
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Filippucci Roberta

• Universita degli Studi di Perugia Dipartimento di Matematica e Informatica Via Vanvitelli 1 - 06123 Perugia, Italy

autor

Lini Chiara

• Universita degli Studi di Perugia Dipartimento di Matematica e Informatica Via Vanvitelli 1 - 06123 Perugia, Italy

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