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.
Original language | English |
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Pages (from-to) | 807-821 |
Number of pages | 15 |
Journal | Complex Variables and Elliptic Equations |
Volume | 67 |
Issue number | 4 |
DOIs | |
Publication status | Published - 3 Apr 2022 |
Keywords
- 35A23
- 35J96
- 35N25
- 47J20
- 52A40
- Overdetermined problems
- domain derivative
- domain functionals
- duality results
- generalized Monge–Ampére equations
- p-Laplace equations
- generalized Monge-Ampere equations