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
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/892807
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