30 citations · 36 across the 5 of their papers we have counts for
5 papers
Quasilinear and Hessian equations of Lane-Emden type
Nguyen Cong Phuc, Igor E. Verbitsky
The existence problem is solved, and global pointwise estimates of solutions are obtained for quasilinear and Hessian equations of Lane-Emden type, including the following two mode…
Form boundedness of the general second order differential operator
V. G. Maz'ya, I. E. Verbitsky
We give explicit necessary and sufficient conditions for the boundedness of the general second order differential operator L with real- or complex-valued distributional coefficient…
Infinitesimal form boundedness and Trudinger's subordination for the Schrödinger operator
V. G. Maz'ya, I. E. Verbitsky
We give explicit analytic criteria for two problems associated with the Schrödinger operator on where is an arbitrary real- or complex-value…
Nonlinear potentials and two weight trace inequalities for general dyadic and radial kernels
C. Cascante, J. M. Ortega, I. E. Verbitsky
We study trace inequalities of the type in the ``upper triangle case'' for integral operators $…
The form boundedness criterion for the relativistic Schrödinger operator
V. G. Maz'ya, I. E. Verbitsky
We establish necessary and sufficient conditions for the boundedness of the relativistic Schrödinger operator from the Sobolev space $W^{1/2}_2 (\R^n)…