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Abstract In this paper, we prove the symmetry and monotonicity results of viscosity solutions for fully nonlinear elliptic equations F ( D 2 u , D u , u ,… Click to show full abstract
Abstract In this paper, we prove the symmetry and monotonicity results of viscosity solutions for fully nonlinear elliptic equations F ( D 2 u , D u , u , x ) = 0 and fully nonlinear parabolic equations − u t + F ( D 2 u , D u , u , x , t ) = 0 in annular domains by using the method of moving planes. We also prove the symmetry and monotonicity results of viscosity solutions for fully nonlinear parabolic equations − u t + F ( D 2 u , D u , u , t ) = 0 in exterior domains. This extends the results of fully nonlinear elliptic equations in exterior domains.
Keywords:
fully nonlinear;
exterior domains;
solutions fully;
equations annular;
viscosity solutions;
results viscosity
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
Link to full text (if available)
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recommendations!