Results 11 to 20 of about 2,493,959 (162)

The multiconfiguration methods in quantum chemistry: Palais–Smale condition and existence of minimizers

Comptes Rendus. Mathématique, 2002
In this Note, we propose a new proof for the existence of a minimum in the multiconfiguration methods in Quantum Chemistry. We use a Palais–Smale condition with Morse-type information, whose proof is based on the Euler–Lagrange equations, written in a simple and useful way.
Lewin, Mathieu
core   +7 more sources

Some properties of Palais-Smale sequences with applications to elliptic boundary-value problems [PDF]

Electronic Journal of Differential Equations, 1999
When using calculus of variations to study nonlinear elliptic boundary-value problems on unbounded domains, the Palais-Smale condition is not always satisfied.
Chao-Nien Chen, Shyuh-Yaur Tzeng
doaj   +2 more sources

Periodic Solutions of Classical Hamiltonian Systems without Palais–Smale Condition [PDF]

Journal of Mathematical Analysis and Applications, 2002
The authors consider the second order Hamiltonian system \(\ddot{u}+V_u(t,u)=0\) where \(V:\mathbb R\times\mathbb R^N\rightarrow\mathbb R\) is \({\mathcal{C}}^2\), \(T\)-periodic in \(t\), and \(V_u\) is globally bounded. Further conditions on \(V\) for \(|u|\rightarrow\infty\) are not required.
Fei, Guihua, Kim, Soon-Kyu, Wang, Tixiang   +2 more
openaire   +3 more sources

Global hyperbolicity and Palais–Smale condition for action functionals in stationary spacetimes [PDF]

Advances in Mathematics, 2008
In order to apply variational methods to the action functional for geodesics of a stationary spacetime, some hypotheses, useful to obtain classical Palais-Smale condition, are commonly used: pseudo-coercivity, bounds on certain coefficients of the metric, etc.
CANDELA, Anna Maria, FLORES J. L, SÁNCHEZ M.   +2 more
openaire   +4 more sources

Ume's u-distance and its relation with both (PS)-condition and coercivity

Electronic Journal of Differential Equations, 2011
In this article, we study the connection between the u-distance and a new Palais-Smale condition of compactness. We compare this Palais-Smale condition with the coercivity.
Georgiana Goga
doaj   +1 more source

Global injectivity of C-1 maps of the real plane, inseparable leaves and the Palais-Smale condition [PDF]

, 2015
We study two sufficient conditions that imply global injectivity for a C-1 Map X : R-2 -> R-2 such that its Jacobian at any point of R-2 is not zero. One is based on the notion of half-Reeb component and the other on the Palais-Smale condition.
Llibre, J, Gutierrez, C, Teixeira, MA, Jarque, X   +3 more
core   +3 more sources

Periodic traveling waves in Fermi–Pasta–Ulam type systems with nonlocal interaction on 2d-lattice

Математичні Студії, 2023
The paper deals with the Fermi--Pasta--Ulam type systems that describe an infinite systems of nonlinearly  coupled particles with nonlocal interaction on a two dimensional lattice.
S. M. Bak, G. M. Kovtonyuk
doaj   +1 more source

Existence of solutions for a double-phase variable exponent equation without the Ambrosetti-Rabinowitz condition

Advances in Nonlinear Analysis, 2023
The article deals with the existence of a pair of nontrivial nonnegative and nonpositive solutions for a nonlinear weighted quasilinear equation in RN{{\mathbb{R}}}^{N}, which involves a double-phase general variable exponent elliptic operator A{\bf{A}}.
Liu Jingjing, Pucci Patrizia
doaj   +1 more source

Vitali convergence theorem and Palais-Smale condition

Differential and Integral Equations, 2002
Let \(N\geq 2\) and ...
Chen, Min-Chun, Lin, Huei-li, Wang, Hwai-Chiuan   +2 more
openaire   +3 more sources

Existence of Positive Solutions of Semilinear Biharmonic Equations

Abstract and Applied Analysis, 2014
This paper is concerned with the existence of positive solutions of semilinear biharmonic problem whose associated functionals do not satisfy the Palais-Smale condition.
Yajing Zhang, Yinmei Lü, Ningning Wang
doaj   +1 more source