Results 151 to 160 of about 497 (183)
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A Liouville type theorem for semilinear elliptic systems
Pacific Journal of Mathematics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Teramoto, Tomomitsu, Usami, Hiroyuki
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A Liouville-type theorem for Lane-Emden system
Indiana University Mathematics Journal, 2002The authors provide a partial positive answer to a well-known conjecture about the nonexistence of positive solutions to Lane-Emden systems below the critical Sobolev hyperbola. The proof is based on a monotonicity argument for suitable transformed functions.
Busca, Jérôme, Manásevich, Raul
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Liouville‐type theorems for a nonlinear fractional Choquard equation
Mathematische Nachrichten, 2023AbstractIn this paper, we are concerned with the fractional Choquard equation on the whole space with , and . We first prove that the equation does not possess any positive solution for . When , we establish a Liouville type theorem saying that if then the equation has no positive stable solution.
Anh Tuan Duong +3 more
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Liouville type theorems for the system of integral equations
Applied Mathematics and Computation, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Liouville type theorems for Schrödinger systems
Science China Mathematics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhuo, Ran, Li, FengQuan
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ON CERTAIN LIOUVILLE-TYPE THEOREMS OF NEHARI, GOYAL AND SCHAEFER
Analysis, 1986Simple conditions on p and f are given which ensure that the only bounded solution of (sgn u)\(\Delta\) \(u\geq p(x)f(u)\) is \(u=0\). The result sharpens both theorems referred to in the title, and can be generalized with ease.
Redheffer, Ray, Schaefer, Phil
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Liouville type theorems for Hartree and Hartree–Fock equations
Nonlinear Analysis, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianfu Yang, Xiaohui Yu
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The submartingale property and Liouville type theorems
manuscripta mathematica, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A theorem of Liouville type on a Riemannian manifold
Russian Mathematical Surveys, 1985Let M be a non-compact Riemannian manifold and let \(x_ 0\) be a fixed point of M. For each \(x\in M\), let r(x) be the geodesic distance between x and \(x_ 0\). The main result is as follows. If h: [0,\(\infty)\to [0,\infty)\) is an increasing function such that \(\int^{\infty}_{1}(h(t))^{-1} dt0\) and \(\int_{M}(1+r(x))^{-2} h(u^+(x ...
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Optimal Liouville theorems for superlinear parabolic problems
Duke Mathematical Journal, 2021Pavol Quittner
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