We obtain approximate convexity principles for solutions to some classes of nonlinear elliptic partial differential equations in convex domains involving approximately concave nonlinearities. Furthermore, we provide some applications to some meaningful special cases.

Approximate convexity principles and applications to PDEs in convex domains / C. Bucur, M. Squassina. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 192:(2020), pp. 111661.1-111661.21. [10.1016/j.na.2019.111661]

Approximate convexity principles and applications to PDEs in convex domains

C. Bucur
Primo
;
2020

Abstract

We obtain approximate convexity principles for solutions to some classes of nonlinear elliptic partial differential equations in convex domains involving approximately concave nonlinearities. Furthermore, we provide some applications to some meaningful special cases.
Concavity; Convexity; Elliptic PDEs; Maximum principles
Settore MAT/05 - Analisi Matematica
2020
Article (author)
File in questo prodotto:
File Dimensione Formato  
14_ Bucur_Squassina_Approximate convexity principles and applications to PDES in convex domains.pdf

accesso riservato

Tipologia: Publisher's version/PDF
Dimensione 753.77 kB
Formato Adobe PDF
753.77 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/892807
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
social impact