A Liouville-Type Theorem for Elliptic Systems [PDF]
, 1994 The authors consider the system \(- \triangle u = v^ \alpha\), \(- \triangle v = u^ \beta\) in the whole of \(\mathbb{R}^ N\), \(N \geq 3\). The question is to determine for which values of the exponents \(\alpha\) and \(\beta\) the only nonnegative solution \((u,v)\) is the trivial one.
de Figueiredo, D. G., Felmer, P. L.
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Liouville-type theorem for Kirchhoff equations involving Grushin operators
Boundary Value Problems, 2020 The aim of this paper is to prove the Liouville-type theorem of the following weighted Kirchhoff equations: 0.1 − M ( ∫ R N ω ( z ) | ∇ G u | 2 d z ) div G ( ω ( z ) ∇ G u ) = f ( z ) e u , z = ( x , y ) ∈ R N = R N 1 × R N 2 $$\begin{aligned} \begin ...
Yunfeng Wei, Caisheng Chen, Hongwei Yang
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A Liouville-type Theorem for Schrödinger Operators [PDF]
Communications in Mathematical Physics, 2007 14 pages, the main result was improved, and a few more applications were ...
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A Liouville type theorem for the Schrödinger operator [PDF]
Proceedings of the American Mathematical Society, 1999 In this paper we prove that the equation Δ u (
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Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations [PDF]
, 2023 In this article, the authors investigate the system of Schr odinger and Klein-Gordon equations with Yukawa coupling. They rst prove the existence of pullback attractor and construct a family of invariant Borel probability measures.
Caraballo Garrido, Tomás +2 more
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Green function method for a fractional–order delay differential equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this paper, we investigated a boundary value problem with the Sturm-Liouville type conditions for a linear ordinary differential equation of fractional order with delay. The condition for the unique solvability of the problem is obtained in the form △
M.G. Mazhgikhova
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Liouville-type theorems for the Navier–Stokes equations [PDF]
Russian Mathematical Surveys, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seregin, G. A., Shilkin, T. N.
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Liouville type theorems for $\varphi$-subharmonic functions
Revista Matemática Iberoamericana, 2001 In this paper we presents some Liouville type theorems for solutions of differential inequalities involving the \varphi -Laplacian. Our results in particular improve and generalize known results for the Laplacian and the
Rigoli M., Setti A. G.
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Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations [PDF]
, 2022 In this article, we first prove some sufficient conditions guaranteeing the existence of invariant sample measures for random dynamical systems via the approach of global random attractors.
Wang, Jintao +2 more
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Liouville type theorem for a class quasilinear $p$-Laplace type equation on the sphere [PDF]
, 2022 We use the integral by parts to get a Liouville type theorem for a class quasilinear $p$-Laplace type equation on the sphere, this $p$-Laplace type equation arises from the study of asymptotic behavior near the origin for the semi-linear $p$-Laplace ...
Ma, Xi-Nan, Lin, Daowen
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