33 citations · 255 across the 38 of their papers we have counts for
43 papers
Nonlinear potential estimates for sublinear problems with applications to elliptic semilinear and quasilinear equations
Igor E. Verbitsky
We give a survey of nonlinear potential estimates and their applications obtained recently for positive solutions to sublinear problems of the type \[ u = \mathbf{G}(σu^q) + f \qua…
Uniqueness of entire solutions to quasilinear equations of p-Laplace type
Nguyen Cong Phuc, Igor E. Verbitsky
We prove the uniqueness property for a class of entire solutions to the equation \begin{equation*} \left\{ \begin{array}{ll} -{\rm div}\, \mathcal{A}(x,\nabla u) = σ, \quad u\geq 0…
Global pointwise estimates of positive solutions to sublinear equations
Igor E. Verbitsky
We give bilateral pointwise estimates for positive solutions to the sublinear integral equation \[ u = \mathbf{G}(σu^q) + f \quad \textrm{in} \,\, Ω,\] for , where $…
BMO solutions to quasilinear equations of -Laplace type
Nguyen Cong Phuc, Igor E. Verbitsky
We give necessary and sufficient conditions for the existence of a BMO solution to the quasilinear equation in , , where is a locally finit…
Bilateral estimates of solutions to quasilinear elliptic equations with sub-natural growth terms
Igor Verbitsky
We study quasilinear elliptic equations of the type in the case , where and are nonnegative measurable functi…
Positive solutions and harmonic measure for Schrödinger operators in uniform domains
Michael W. Frazier, Igor E. Verbitsky
We give bilateral pointwise estimates for positive solutions of the equation \begin{equation*} \left\{ \begin{aligned} -\triangle u & = ωu \, \,& & \mbox{in} \, \, Ω, \quad u \ge 0…