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Wolff’s inequality for intrinsic nonlinear potentials and quasilinear elliptic equations

Nonlinear analysis, 2020-05, Vol.194, p.111516, Article 111516

Verbitsky, Igor E.

2020

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Existence and Nonexistence for Boundary Problem Involving the p-Biharmonic Operator and Singular Nonlinearities

Journal of function spaces, 2023, Vol.2023, p.1-6

2023

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Solutions to sublinear elliptic equations with finite generalized energy

Calculus of variations and partial differential equations, 2019-02, Vol.58 (1), p.1-21, Article 6

2019

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A Blow-Up Criterion for 3D Nonhomogeneous Incompressible Magnetohydrodynamic Equations with Vacuum

Journal of function spaces, 2022, Vol.2022, p.1-8

2022

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The Existence of Nontrivial Solutions to a Class of Quasilinear Equations

Journal of function spaces, 2021, Vol.2021, p.1-10

2021

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Finite energy solutions of quasilinear elliptic equations with sub-natural growth terms

Calculus of variations and partial differential equations, 2015-03, Vol.52 (3-4), p.529-546

2015

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Quasilinear and Hessian Equations of Lane-Emden Type

Annals of mathematics, 2008-11, Vol.168 (3), p.859-914

2008

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Pointwise estimates of Brezis–Kamin type for solutions of sublinear elliptic equations

Nonlinear analysis, 2016-11, Vol.146, p.1-19

2016

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Quasilinear elliptic equations with sub-natural growth terms and nonlinear potential theory

Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, 2019-01, Vol.30 (4), p.733-758

Verbitsky, Igor

2019

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Existence of the Gauge for Fractional Laplacian Schrödinger Operators

The Journal of geometric analysis, 2021-09, Vol.31 (9), p.9016-9044, Article 9016

2021

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Uniqueness of entire solutions to quasilinear equations of $ p $-Laplace type

Mathematics in engineering, 2023-09, Vol.5 (3), p.1-33

2023

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Pointwise bounds and blow-up for systems of semilinear elliptic inequalities at an isolated singularity via nonlinear potential estimates

Journal d'analyse mathématique (Jerusalem), 2019-10, Vol.139 (2), p.799-840

2019

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Sublinear Equations and Schur’s Test for Integral Operators

50 Years with Hardy Spaces, p.467-484

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Local and Global Behaviour of Solutions to Nonlinear Equations with Natural Growth Terms

Archive for rational mechanics and analysis, 2012-05, Vol.204 (2), p.627-681

2012

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Quasilinear elliptic equations and weighted Sobolev–Poincaré inequalities with distributional weights

Advances in mathematics (New York. 1965), 2013-01, Vol.232 (1), p.513-542

2013

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Quasilinear equations with source terms on Carnot groups

Transactions of the American Mathematical Society, 2013-12, Vol.365 (12), p.6569-6593

2013

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Form boundedness of the general second-order differential Operator

Communications on pure and applied mathematics, 2006-09, Vol.59 (9), p.1286-1329

2006

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Radial fractional Laplace operators and Hessian inequalities

Journal of Differential Equations, 2012-07, Vol.253 (1), p.244-272

2012

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A sublinear version of Schur’s lemma and elliptic PDE

Analysis & PDE, 2018-01, Vol.11 (2), p.439-466

2018

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The fundamental solution of nonlinear equations with natural growth terms

Annali della Scuola normale superiore di Pisa, Classe di scienze, 2013-01, p.93-139

2013

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Two-weight L^p \to L^q bounds for positive dyadic operators in the case 0<q<1\leqp<\infty

Indiana University mathematics journal, 2020, Vol.69 (3), p.837-871

2020

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Two-Weight Lp → Lq Bounds for Positive Dyadic Operators in the Case 0 < q < 1 ≤ p

Indiana University mathematics journal, 2020-01, Vol.69 (3), p.837-871

2020

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Nonlinear Potentials and Two Weight Trace Inequalities for General Dyadic and Radial Kernels

Indiana University mathematics journal, 2004-01, Vol.53 (3), p.845-882

2004

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Hamilton-Souplet-Zhang’s Gradient Estimates for Two Types of Nonlinear Parabolic Equations under the Ricci Flow

Journal of function spaces, 2016-01, Vol.2016, p.1-7

2016

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The Schrödinger operator on the energy space: boundedness and compactness criteria

Acta mathematica, 2002, Vol.188 (2), p.263-302

2002

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Wolff’s inequality for intrinsic nonlinear potentials and quasilinear elliptic equations

Existence and Nonexistence for Boundary Problem Involving the p-Biharmonic Operator and Singular Nonlinearities

Solutions to sublinear elliptic equations with finite generalized energy

A Blow-Up Criterion for 3D Nonhomogeneous Incompressible Magnetohydrodynamic Equations with Vacuum

The Existence of Nontrivial Solutions to a Class of Quasilinear Equations

Finite energy solutions of quasilinear elliptic equations with sub-natural growth terms

Quasilinear and Hessian Equations of Lane-Emden Type

Pointwise estimates of Brezis–Kamin type for solutions of sublinear elliptic equations

Quasilinear elliptic equations with sub-natural growth terms and nonlinear potential theory

Existence of the Gauge for Fractional Laplacian Schrödinger Operators

Uniqueness of entire solutions to quasilinear equations of $ p $-Laplace type

Pointwise bounds and blow-up for systems of semilinear elliptic inequalities at an isolated singularity via nonlinear potential estimates

Sublinear Equations and Schur’s Test for Integral Operators

Local and Global Behaviour of Solutions to Nonlinear Equations with Natural Growth Terms

Quasilinear elliptic equations and weighted Sobolev–Poincaré inequalities with distributional weights

Quasilinear equations with source terms on Carnot groups

Form boundedness of the general second-order differential Operator

Radial fractional Laplace operators and Hessian inequalities

A sublinear version of Schur’s lemma and elliptic PDE

The fundamental solution of nonlinear equations with natural growth terms

Two-weight L^p \to L^q bounds for positive dyadic operators in the case 0<q<1\leqp<\infty

Two-Weight Lp → Lq Bounds for Positive Dyadic Operators in the Case 0 < q < 1 ≤ p

Nonlinear Potentials and Two Weight Trace Inequalities for General Dyadic and Radial Kernels

Hamilton-Souplet-Zhang’s Gradient Estimates for Two Types of Nonlinear Parabolic Equations under the Ricci Flow

The Schrödinger operator on the energy space: boundedness and compactness criteria

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