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Serrin-type overdetermined problems for Hessian quotient equations
- Publication Year :
- 2022
-
Abstract
- We prove the symmetry of solutions to overdetermined problems for a class of fully nonlinear equations, namely Hessian quotient equations and Hessian quotient curvature equations. Our approach is based on establishing a Rellich-Pohozaev type identity for Hessian quotient equations and using a P function. Our result generalizes the overdetermined problems for k-Hessian equations and k-curvature equations.<br />Comment: arXiv admin note: text overlap with arXiv:2201.04323
- Subjects :
- Mathematics - Analysis of PDEs
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2209.06268
- Document Type :
- Working Paper