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.
Bucur, C., Squassina, M. (2020). Approximate convexity principles and applications to PDEs in convex domains. NONLINEAR ANALYSIS, 192 [10.1016/j.na.2019.111661].
Approximate convexity principles and applications to PDEs in convex domains
Bucur C.
;
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.
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