Results 111 to 120 of about 200 (141)

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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A Palais–Smale type condition

2014
In this section we prove a Palais–Smale condition for minimizing sequences of blowup solutions to the defocusing energy-critical NLS. It was already observed in [5, 13] that such minimizing sequences have good tightness and equicontinuity properties.
Herbert Koch, Daniel Tataru, Monica Vişan   +2 more
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Note on a general Palais–Smale condition

Nonlinear Analysis: Theory, Methods & Applications, 2011
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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
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Note on a function satisfying Palais–Smale condition

Nonlinear Analysis: Theory, Methods & Applications, 2009
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Poincaré inequality and Palais–Smale condition for the p-Laplacian

Calculus of Variations and Partial Differential Equations, 2006
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Drábek, Pavel, Takáč, Peter
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Mountain pass theorems without Palais–Smale conditions

Journal of Mathematical Sciences, 2009
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Limit Cases of the Palais-Smale Condition

1990
Condition (P.-S.) may seem rather restrictive. Actually, as Hildebrandt [4; p. 324] records, for quite a while many mathematicians felt convinced that inspite of its success in dealing with one-dimensional variational problems like geodesics (see Birkhoff’s Theorem I.4.4, for example, or Palais’ [3] work on closed geodesics), the Palais-Smale condition
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On resonance Hamiltonian systems without the Palais–Smale condition

Nonlinear Analysis: Theory, Methods & Applications, 2005
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Equilibrium Problems Via the Palais-Smale Condition

2006
Inspired by some results from nonsmooth critical point theory, we propose in this paper to study equilibrium problems by means of a general Palais-Smale condition adapted to bifunctions. We introduce the notion of critical points for equilibrium problems and we give some existence results for (EP) with lack of compacity.
Ouayl Chadli, Zaki Chbani, Hassan Riahi
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