We study certain generalized Cauchy integral formulas for gradients of solutions to second order divergence form elliptic systems, which appeared in recent work by P. Auscher and A. Ros\ue9n. These are constructed through functional calculus and are in general beyond the scope of singular integrals. More precisely, we establish such Cauchy formulas for solutions u with gradient in weighted L_2(\R^{1+n}_+, t^{\alpha}dtdx) also in the case |\alpha
We develop new solvability methods for divergence form second order, real and complex, elliptic syst...
This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space governed b...
none2noIn this paper we give a general proof of Mean Value formulas for solutions to second order li...
We study certain generalized Cauchy integral formulas for gradients of solutions to second order div...
We study the L2-gradient flow of the nonconvex functional F phi(u) := 1/2 integral((0,1)) phi(u(x)) ...
. A new nonconvex generalized gradient is defined and some of its calculus is developed. This genera...
We study the L2-gradient flow of the nonconvex functional F phi(u) := 1/2 integral((0,1)) phi(u(x)) ...
This note addresses the Cauchy problem for the gradient flow equation in a Hilbert space governed by ...
AbstractThe purpose of this article is threefold: (i) to present in a unified fashion the theory of ...
This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space $H$ $$ u?(...
We study very general nonvariational elliptic equations of p-Laplacian type. We discuss an optimal ...
Strip integrals are constructed, by means of an averaging process, and applied to representing solu...
This paper is concerned with the regularity of the gradient of the weak solutions to nonlinear ellip...
In this short manuscript, we briefly recall some well-known methods for obtaining gradient bounds of...
summary:Interior $\Cal L_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear se...
We develop new solvability methods for divergence form second order, real and complex, elliptic syst...
This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space governed b...
none2noIn this paper we give a general proof of Mean Value formulas for solutions to second order li...
We study certain generalized Cauchy integral formulas for gradients of solutions to second order div...
We study the L2-gradient flow of the nonconvex functional F phi(u) := 1/2 integral((0,1)) phi(u(x)) ...
. A new nonconvex generalized gradient is defined and some of its calculus is developed. This genera...
We study the L2-gradient flow of the nonconvex functional F phi(u) := 1/2 integral((0,1)) phi(u(x)) ...
This note addresses the Cauchy problem for the gradient flow equation in a Hilbert space governed by ...
AbstractThe purpose of this article is threefold: (i) to present in a unified fashion the theory of ...
This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space $H$ $$ u?(...
We study very general nonvariational elliptic equations of p-Laplacian type. We discuss an optimal ...
Strip integrals are constructed, by means of an averaging process, and applied to representing solu...
This paper is concerned with the regularity of the gradient of the weak solutions to nonlinear ellip...
In this short manuscript, we briefly recall some well-known methods for obtaining gradient bounds of...
summary:Interior $\Cal L_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear se...
We develop new solvability methods for divergence form second order, real and complex, elliptic syst...
This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space governed b...
none2noIn this paper we give a general proof of Mean Value formulas for solutions to second order li...