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Existence and uniqueness of well-posed fractional boundary value problem. [PDF]
Wang Y +4 more
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Study of fractional order rabies transmission model via Atangana-Baleanu derivative. [PDF]
Zainab M +5 more
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Liouville Type Theorems for Fractional Parabolic Problems
Journal of Dynamics and Differential Equations, 2021The authors establish Liouville-type theorems for fractional parabolic problems, presenting a compelling dual-purpose exploration. Their first objective is to establish optimal Liouville-type theorems, focusing on both nonnegative and positive supersolutions of fractional parabolic equations across the entire time-space continuum.
Anh Tuan Duong, Van Hoang Nguyen
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A Theorem of Liouville Type for Harmonic Morphisms
Geometriae Dedicata, 2001Let \(M\) be a complete noncompact Riemannian manifold with nonnegative Ricci curvature and \(N\) be a Riemannian manifold with nonpositive scalar curvature. Then every harmonic morphism \(M\to N\) of finite energy is constant. This theorem is related to the classical result of \textit{R. Schoen} and \textit{S.-T. Yau} [Comment. Math. Helv. 51, 333-341
Choi, Gundon, Yun, Gabjin
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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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Liouville type theorem for transversally harmonic maps
Journal of Geometry, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xueshan Fu, Seoung Dal Jung
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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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