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Overdetermined problems for p-Laplace and generalized Monge–Ampére equations

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We investigate overdetermined problems for p-Laplace and generalized Monge–Ampére equations. By using the theory of domain derivative, we find duality results and characterization of the overdetermined boundary conditions via minimization… Click to show full abstract

We investigate overdetermined problems for p-Laplace and generalized Monge–Ampére equations. By using the theory of domain derivative, we find duality results and characterization of the overdetermined boundary conditions via minimization of suitable functionals with respect to the domain.

Keywords: monge amp; laplace generalized; generalized monge; problems laplace; amp equations; overdetermined problems

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2020

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