Results 61 to 70 of about 14,112 (178)
Liouville theorems in halfspaces for parabolic hypoelliptic equations
, 2006 We prove some one-side Liouville-type theorems in halfspaces for a class of evolution hypoelliptic equations. The operators we deal with are left translation invariant, and homogeneous of degree two, on homogeneous Lie groups on $mathbb{R}^{N+1}$
Lanconelli, Ermanno +2 more
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Liouville type theorems for g-subharmonic functions
, 2001 In this paper we present some Liouville type theorems for solutions of differential inequalities involving the f-Laplacian. Our results, in particular, improve and generalize known results for the Laplacian and the p-Laplacian, and are new even in these ...
Setti, Alberto G., Rigoli, Marco
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, 2021 We consider a class of equations in divergence form with a singular/degenerate weight. Under suitable regularity assumptions for the matrix A, the forcing term f and the field F, we prove Holder continuity of solutions which are odd in y, and possibly of
Terracini, S. +5 more
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Liouville Type Theorems Involving the Fractional Laplacian on the Upper Half Euclidean Space
, 2022 In this paper, we mainly establish Liouville-type theorems for the elliptic semi-linear equations involving the fractional Laplacian on the upper half of Euclidean space.
Tao Zhang
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A Liouville-Type Theorem for Harmonic Functions on Exterior Domains
Journal of Mathematical Analysis and Applications, 2000 Liouville's classical theorem that a function harmonic in \(\mathbb{R}^2\) that is bounded below is a constant does not extend to \(\mathbb{R}^2\) punctured at the origin. Via some interesting preliminaries on convex sets in \(\mathbb{R}^2\), the authors prove that if \(K\) is a non-empty compact convex set in \(\mathbb{R}^2\) and \(f\) is a real ...
CAMMAROTO, Filippo, CHINNI', Antonia
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Liouville type theorems for the Euler and the Navier–Stokes equations
Advances in Mathematics, 2011 15 ...
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LIOUVILLE TYPE THEOREMS FOR TRANSVERSALLY HARMONIC AND BIHARMONIC MAPS
Journal of the Korean Mathematical Society, 2017 12 ...
Jung, Min Joo, Jung, Seoung Dal
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Liouville Theorems for a Class of Linear Second-Order Operators with Nonnegative Characteristic Form
, 2007 We report on some Liouville-type theorems for a class of linear second-order partial differential equation with nonnegative characteristic form. The theorems we show improve our previous results.
Lanconelli, Ermanno +6 more
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Liouville type theorems involving fractional order systems
In this paper, let α be any real number between 0 and 2, we study the following semi-linear elliptic system involving the fractional Laplacian: (−Δ)α/2u(x)=f(u(x),v(x)),x∈Rn,(−Δ)α/2v(x)=g(u(x),v(x)),x∈Rn. $\begin{cases}{\left(-{\Delta}\right)}^{\alpha /2}
Liao Qiuping, Wang Xinyue, Liu Zhao
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Liouville type theorems for fourth order elliptic equationsin a half plane
, 1995 Friedman, A.; Velazquez, J.J.L.. (1995). Liouville type theorems for fourth order elliptic equationsin a half plane.
Friedman, A., Velazquez, J.J.L.
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