Results 1 to 10 of about 388 (138)
On Cauchy–Liouville-type theorems
Advances in Nonlinear Analysis, 2017 Abstract In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Ahmed Mohammed
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SOME REMARKS ON LIOUVILLE TYPE THEOREMS [PDF]
Recent Advances in Nonlinear Analysis, 2008 The goal of this note is to present elementary proofs of statements related to the Liouville theorem.
Brezis, H, Chipot, M, Xie, Y
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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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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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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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Remarks on a Liouville-Type Theorem for Beltrami Flows [PDF]
International Mathematics Research Notices, 2014 We present a simple, short and elementary proof that if $v$ is a Beltrami flow with a finite energy in $\mathbb R^3$ then $v=0$. In the case of the Beltrami flows satisfying $v\in L^\infty _{loc} (\Bbb R^3) \cap L^q(\Bbb R^3)$ with $q\in [2, 3)$, or $|v(x)|=O(1/|x|^{1+\varepsilon})$ for some $\varepsilon >0$, we provide a different, simple proof ...
Chae, Dongho, Constantin, Peter
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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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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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Three-circle theorems and Liouville-type theorems
Science China Mathematics14 ...
Jian, Run-Qiang, Zhang, Zhuhong
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Liouville type theorems for p-harmonic maps
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moon, Dong Joo +2 more
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