Results 241 to 250 of about 651,324 (288)

Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure

, 2014
We provide a simple method for obtaining new Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure. To illustrate the method we prove Liouville theorems (guaranteeing nonexistence of positive classical solutions)
P. Quittner
semanticscholar   +1 more source

A Liouville Theorem for Harmonic Maps

American Journal of Mathematics, 1995
The main result of the author is a Liouville type theorem for harmonic maps with domain \(M\), a complete Riemannian manifold of nonnegative Ricci curvature, and range \(N\), a simply-connected complete Riemannian manifold with sectional curvature bounded above by \(-a^2\), \(a>0\).
openaire   +1 more source

Liouville theorem for X-elliptic operators

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
KOGOJ, ALESSIA ELISABETTA, Lanconelli, Ermanno   +1 more
openaire   +2 more sources

Proportionality of Components, Liouville Theorems and a Priori Estimates for Noncooperative Elliptic Systems

Archive for Rational Mechanics and Analysis, 2013
We study qualitative properties of positive solutions of noncooperative, possibly nonvariational, elliptic systems. We obtain new classification and Liouville type theorems in the whole Euclidean space, as well as in half-spaces, and deduce a priori ...
Alexandre Montaru, B. Sirakov, P. Souplet   +2 more
semanticscholar   +1 more source

A Strong Version of Liouville's Theorem

The American Mathematical Monthly, 2008
1. THE MAIN RESULT. Liouville's theorem states that every bounded holomor phic function on C is constant. Let us recall that holomorphic functions / on open subsets U of the complex plane have the mean value property, that is, for every closed disk B(z,r) in U, the value of / at its center z is equal to the average of the values of f on the circle S(z ...
openaire   +1 more source

Proof of the Levinson theorem by the Sturm–Liouville theorem

Journal of Mathematical Physics, 1985
The Levinson theorem is proved by the Sturm–Liouville theorem in this paper. For the potential ∫10r‖V(r)‖dr <∞,V(r)→b/r2 when r→∞, the modified Levinson theorem is derived as nl=(1/π)δl(0) +(a−l)/2− 1/2  sin2{δl(0)+[(a−l)/2]π}, if a(a+1)≡b+l(l+1)> 3/4 or a=0.
openaire   +1 more source

A Liouville theorem on a manifold

Russian Mathematical Surveys, 1982
Translation from Usp. Mat. Nauk 37, No.3(225), 181-182 (Russian) (1982; Zbl 0509.53035).
openaire   +1 more source

A Note on Liouville's Theorem

The American Mathematical Monthly, 1986
(1986). A Note on Liouville's Theorem. The American Mathematical Monthly: Vol. 93, No. 3, pp. 200-201.
openaire   +1 more source

On the Generalized Liouville Theorem

2019
In this paper a generalization of the classical Liouville theorem for the solutions of special type elliptic systems and some nonclassical interpretations of this theorem are obtained.
Nino Manjavidze, George Makatsaria, Tamaz Vekua, George Akhalaia   +3 more
openaire   +1 more source

Some Liouville theorems for Hénon type equations in half-space with nonlinear boundary value conditions and finite Morse indices

Analysis and Mathematical Physics, 2020
Belgacem Rahal
semanticscholar   +1 more source