Results 131 to 140 of about 2,493,959 (162)

A Necessary and Sufficient Condition for Palais--Smale Conditions

SIAM Journal on Mathematical Analysis, 1999
Let \(\Omega\) be an arbitrary domain in \({\mathbb{R}}^N\), \(N\geq 2\). Denote \(2^*= +\infty\) if \(N=2\), and \(2^*=2N/(N-2)\) for \(N\geq 3\). The paper establishes a necessary and sufficient condition for the Palais-Smale property related to the boundary value problem \(-\Delta u+u=|u|^{p-2}u\) in \(\Omega\), subject to the Dirichlet condition ...
Hwai-Chiuan Wang
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A weak nonsmooth palais-smale condition and coercivity

Rendiconti Del Circolo Matematico Di Palermo, 2000
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Nikolaos S Papageorgiou
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Palais–Smale condition and global attractor for gradient system

Nonlinear Analysis: Theory, Methods & Applications, 2008
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Chengkui Zhong
exaly   +2 more sources

The Palais–Smale conditions for the Yang–Mills functional

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 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 manifold of orbits of connections under the action of the group of principal bundle automorphisms, then the
D. R. Wilkins
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Note on a function satisfying Palais–Smale condition

Nonlinear Analysis: Theory, Methods & Applications, 2009
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Ehresmann Fibrations and Palais-Smale Conditions for Morphisms of Finsler Manifolds

Annals of Mathematics, 1997
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Patrick J Rabier
exaly   +3 more sources

A linear perturbed Palais-Smale condition for lower semicontinuous functions on Banach spaces

Acta Mathematica Sinica, English Series, 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
exaly   +1 more source

The Palais-Smale Condition and Mañé's Critical Values

Annales Henri Poincaré, 2000
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Contreras, G., Iturriaga, R., Paternain, G. P., Paternain, M.   +3 more
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Nonstandard Palais-Smale conditions

2007
We present nonstandard versions of the Palais-Smale condition (PS) below, some of them generalizations, but still sufficient to prove Mountain Pass Theorems, which are quite important in Critical Point Theory.
Natália Martins, Vítor Neves
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Note on a general Palais–Smale condition

Nonlinear Analysis: Theory, Methods & Applications, 2011
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