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Optimal Liouville theorems for superlinear parabolic problems

Duke mathematical journal, 2021-04, Vol.170 (6)

Quittner, Pavol

2021

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An Optimal Liouville Theorem for the Linear Heat Equation with a Nonlinear Boundary Condition

Journal of dynamics and differential equations, 2024-02, Vol.36 (Suppl 1), p.53-63

Quittner, Pavol

2024

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Necessary and sufficient conditions for one-dimensional variational problems with applications to elasticity

Electronic journal of qualitative theory of differential equations, 2024-01, Vol.2024 (11), p.1-36

Quittner, Pavol

2024

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Liouville theorem and a priori estimates of radial solutions for a non-cooperative elliptic system

Nonlinear analysis, 2022-09, Vol.222, p.112971, Article 112971

Quittner, Pavol

2022

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Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States

2nd ed. 2019., 2019

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Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure

Mathematische annalen, 2016-02, Vol.364 (1-2), p.269-292

Quittner, Pavol

2016

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Singularity and Decay Estimates in Superlinear Problems via Liouville-type Theorems. Part II: Parabolic Equations

Indiana University mathematics journal, 2007-01, Vol.56 (2), p.879-908

2007

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The decay of global solutions of a semilinear heat equation

Discrete and continuous dynamical systems. Series A, 2008, Vol.21 (1), p.307-318

Quittner, Pavol

2008

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Liouville theorems, universal estimates and periodic solutions for cooperative parabolic Lotka–Volterra systems

Journal of Differential Equations, 2016-02, Vol.260 (4), p.3524-3537

Quittner, Pavol

2016

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Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure

SN partial differential equations and applications, 2022-04, Vol.3 (2), Article 26

Quittner, Pavol

2022

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Liouville theorems for superlinear parabolic problems with gradient structure

Journal of elliptic and parabolic equations, 2020-06, Vol.6 (1), p.145-153

Quittner, Pavol

2020

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Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations

Journal of the European Mathematical Society : JEMS, 2011-01, Vol.13 (1), p.219-247

2011

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Threshold and strong threshold solutions of a semilinear parabolic equation

Advances in differential equations, 2017-07, Vol.22 (7/8)

Quittner, Pavol

2017

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Uniqueness of singular self-similar solutions of a semilinear parabolic equation

Differential and integral equations, 2018-11, Vol.31 (11/12)

Quittner, Pavol

2018

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A priori estimates, existence and Liouville theorems for semilinear elliptic systems with power nonlinearities

Nonlinear analysis, 2014-06, Vol.102, p.144-158

Quittner, Pavol

2014

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Optimal Liouville-type Theorems for Noncooperative Elliptic Schrödinger Systems and Applications

Communications in mathematical physics, 2012-04, Vol.311 (1), p.1-19

2012

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Higher order asymptotics of solutions of a singular ODE

Asymptotic analysis, 2015-09, Vol.94 (3-4), p.293-308

Quittner, Pavol

2015

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Entire and ancient solutions of a supercritical semilinear heat equation

Discrete and continuous dynamical systems. Series A, 2021, Vol.41 (1), p.413-438

2021

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Symmetry of Components for Semilinear Elliptic Systems

SIAM journal on mathematical analysis, 2012-01, Vol.44 (4), p.2545-2559

2012

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Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems

Duke mathematical journal, 2007-09, Vol.139 (3), p.555-579

2007

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A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems

Transactions of the American Mathematical Society, 2008-07, Vol.360 (7), p.3493-3539

2008

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Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States

2007 edition., 2007

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Universal bound for global positive solutions of a superlinear parabolic problem

Mathematische annalen, 2001-06, Vol.320 (2), p.299-305

Quittner, Pavol

2001

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Handbook of Differential Equations: Stationary Partial Differential Equations

Michel Chipot, Pavol Quittner

2006

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A priori bounds and complete blow-up of positive solutions of indefinite superlinear parabolic problems

Journal of mathematical analysis and applications, 2005-04, Vol.304 (2), p.614-631

2005

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Optimal Liouville theorems for superlinear parabolic problems

An Optimal Liouville Theorem for the Linear Heat Equation with a Nonlinear Boundary Condition

Necessary and sufficient conditions for one-dimensional variational problems with applications to elasticity

Liouville theorem and a priori estimates of radial solutions for a non-cooperative elliptic system

Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States

Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure

Singularity and Decay Estimates in Superlinear Problems via Liouville-type Theorems. Part II: Parabolic Equations

The decay of global solutions of a semilinear heat equation

Liouville theorems, universal estimates and periodic solutions for cooperative parabolic Lotka–Volterra systems

Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure

Liouville theorems for superlinear parabolic problems with gradient structure

Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations

Threshold and strong threshold solutions of a semilinear parabolic equation

Uniqueness of singular self-similar solutions of a semilinear parabolic equation

A priori estimates, existence and Liouville theorems for semilinear elliptic systems with power nonlinearities

Optimal Liouville-type Theorems for Noncooperative Elliptic Schrödinger Systems and Applications

Higher order asymptotics of solutions of a singular ODE

Entire and ancient solutions of a supercritical semilinear heat equation

Symmetry of Components for Semilinear Elliptic Systems

Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems

A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems

Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States

Universal bound for global positive solutions of a superlinear parabolic problem

Handbook of Differential Equations: Stationary Partial Differential Equations

A priori bounds and complete blow-up of positive solutions of indefinite superlinear parabolic problems

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