Results 241 to 250 of about 654,091 (289)

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

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

Liouville theorems for some nonlinear inequalities

Proceedings of the Steklov Institute of Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CARISTI, GABRIELLA, D'AMBROSIO L, MITIDIERI, ENZO   +2 more
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On Liouville’s Theorem for Biharmonic Functions

SIAM Journal on Applied Mathematics, 1971
The following theorem, called Liouville's theorem, is well known. THEOREM 1. Any harmonic function bounded either above or below in all of n-space is constant. The reader is referred to the excellent book by Protter and Weinberger [1] for the proof of the above theorem.
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Liouville Theorems for Generalized Harmonic Functions

Potential Analysis, 2002
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DOES LIOUVILLE'S THEOREM IMPLY QUANTUM MECHANICS?

International Journal of Modern Physics B, 1999
The essentials of quantum mechanics are derived from Liouville's theorem in statistical mechanics. An elementary solution, g, of Liouville's equation helps to construct a differentiable N-particle distribution function (DF), F(g), satisfying the same equation.
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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 \(-a^2\), \(a>0\).
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The Poincar�?Lyapunov?Liouville?Arnol'd theorem

Functional Analysis and Its Applications, 1994
The author presents the following theorem: Let \(M\) be a symplectic manifold of dimension \(2n\). Suppose that a Hamiltonian flow \(X_H\), \(H \in C^\infty (M)\), possesses \(k\) \((1 \leq k \leq n)\) integrals in involution \(H= F_1,F_2,\dots, F_k\) and that there exists a \(k\)-dimensional compact connected submanifold \(S \subset M\) invariant ...
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Nonlinear Liouville theorems

1997
Proceeding del Meeting Reaction Diffusion Systems, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker Inc.
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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
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