In this paper we first give an a priori estimate of maximum modulus ofsolutions for a class of systems of diagonally degenerate elliptic equations in the case of p > 2.
In this paper, we give interior gradient and Hessian estimates for systems of semi-linear degenerate elliptic partial differential equations on bounded domains, using both tools of backward stochastic differential equ...In this paper, we give interior gradient and Hessian estimates for systems of semi-linear degenerate elliptic partial differential equations on bounded domains, using both tools of backward stochastic differential equations and quasi-derivatives.展开更多
Even for elliptic variational inequality systems with degenerate ellipticity in the form of (1) the boundedness and regularity are unsolved for general obstacle problems. In this paper the CI’cr regularity of solutio...Even for elliptic variational inequality systems with degenerate ellipticity in the form of (1) the boundedness and regularity are unsolved for general obstacle problems. In this paper the CI’cr regularity of solutions is proved only for a special case of obstacle problems of (1).展开更多
文摘In this paper we first give an a priori estimate of maximum modulus ofsolutions for a class of systems of diagonally degenerate elliptic equations in the case of p > 2.
基金supported by National Natural Science Foundation of China(Grant No.11631004)Science and Technology Commission of Shanghai Municipality(Grant No.14XD1400400)
文摘In this paper, we give interior gradient and Hessian estimates for systems of semi-linear degenerate elliptic partial differential equations on bounded domains, using both tools of backward stochastic differential equations and quasi-derivatives.
文摘Even for elliptic variational inequality systems with degenerate ellipticity in the form of (1) the boundedness and regularity are unsolved for general obstacle problems. In this paper the CI’cr regularity of solutions is proved only for a special case of obstacle problems of (1).
