Fully nonlinear free transmission problems with nonhomogeneous degeneracies
Cristiana De Filippis
TL;DR
This paper establishes existence and regularity results for fully nonlinear free transmission problems involving elliptic equations with nonhomogeneous degeneracies, advancing understanding of such complex PDEs.
Contribution
It introduces new existence and regularity results for fully nonlinear free transmission problems with nonhomogeneous degeneracies, a novel class of PDEs.
Findings
Proved existence of solutions
Established regularity properties
Analyzed degeneracy effects
Abstract
We prove existence and regularity results for free transmission problems governed by fully nonlinear elliptic equations with nonhomogeneous degeneracies.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Differential Equations and Boundary Problems · Nonlinear Partial Differential Equations