Results 61 to 70 of about 2,592,777 (103)

A Linear Perturbed Palais-Smale Condition for Lower Semicontinuous Functions on Banach spaces

, 2008
NSFC [10471114]This paper introduces a notion of linear perturbed Palais-Smale condition for real-valued functions on Banach spaces. In terms of strongly exposed points, it presents a characterization which guarantees linear perturbed Palais-Smale ...
Liu, X. Y., Cheng, L. X., Zuo, M. F., 程立新   +3 more
core  

On certain nonlinear elliptic systems with indefinite terms

Electronic Journal of Differential Equations, 2002
We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002.
Ahmed Bensedik, Mohammed Bouchekif
doaj  

The Palais–Smale conditions for the Yang–Mills functional

, 1988
SynopsisWe consider the Yang–Mills functional denned on connections on a principal bundle over a compact Riemannian manifold of dimension 2 or 3. It is shown that if we consider the Yang–Mills functional as being defined on an appropriate Hilbert ...
D. R. Wilkins
core   +1 more source

Quasilinear Problems without the Ambrosetti-Rabinowitz Condition

, 2021
We show the existence of nontrivial solutions for a class of quasilinear problems in which the governing operators depend on the unknown function.
Mugnai, Dimitri, Fragnelli, Genni, Candela, Anna Maria   +2 more
core   +2 more sources

Solvability of a Class of Fractional Advection–Dispersion Coupled Systems

Mathematics
The purpose of this study is to provide some criteria for the existence and multiplicity of solutions for a class of fractional advection–dispersion coupled systems with nonlinear Sturm–Liouville conditions and instantaneous and non-instantaneous ...
Yan Qiao, Tao Lu
doaj   +1 more source

Global Inversion via the Palais-Smale Condition

, 2002
. Fixing a complete Riemannian metric g on n, we show that a local diffeomorphism f: n → n is bijective if the height function f · v (standard inner product) satisfies the Palais-Smale condition relative to g for each for each nonzero v ∈ n ...
Frederico Xavier, Scott Nollet
core  

The Palais-Smale condition for the energy of some semilinear parabolic equations [PDF]

, 2000
In this paper we show that all the global solutions for some semilinear parabolic equations naturally contain a Palais-Smale sequence as a subsequence and then we apply a global compactness result due to Struwe [16] to the Palais-Smale sequence ...
Ikehata, Ryo
core  

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

, 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 ...
Lewin, Mathieu
core  

Ground-state solutions of a Hartree–Fock type system involving critical Sobolev exponent

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, ground-state solutions to a Hartree–Fock type system with a critical growth are studied. Firstly, instead of establishing the local Palais–Smale (P.-S.) condition and estimating the mountain-pass critical level, a perturbation method is ...
Xiaoli Zhu, Zushun Min
doaj   +1 more source

Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes

, 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,
SÁNCHEZ M., CANDELA, Anna Maria, FLORES J. L   +2 more
core   +1 more source