Results 81 to 90 of about 2,493,959 (162)

A note on Palais-Smale condition in the sense of Szulkin

Differential and Integral Equations, 1993
It has been observed [\textit{L. Caklovic}, \textit{Sh. Li} and \textit{M. Willem}, Differ. Integral Equ. 3, No. 4, 799-800 (1990; see the review above)] that, for a Gâteaux differentiable lower semicontinuous function bounded from below on a Banach space, the Palais-Smale condition implies coercivity.
openaire   +3 more sources

Bounded Palais-Smale Mountain-Pass sequences

, 1998
: Let I(λ,.), λ ∈ R, be a family of C1-functionals having mountain-pass geometry. Under hypotheses which do not ensure that the mountain-pass level c(λ) is a monotone function of λ, it is shown that I(λ,.) has a bounded Palais-Smale sequence at level c(λ)
Jeanjean, L, J. F. Tol, L. Jeanjean, Toland, Jf   +3 more
core   +1 more source

Khovanov homotopy type, periodic links and localizations. [PDF]

Math Ann, 2021
Borodzik M, Politarczyk W, Silvero M.
europepmc   +1 more source

On new critical point theorems without the Palais–Smale condition

Egyptian Journal of Basic and Applied Sciences, 2016
AbstractIn this paper we prove new theorems on critical point theory based on the weak Ekeland's variational principle.
Briki, Mabrouk, Moussaoui, Toufik, O'Regan, Donal   +2 more
openaire   +1 more source

Epithelial-to-mesenchymal transition proceeds through directional destabilization of multidimensional attractor. [PDF]

Elife, 2022
Wang W, Poe D, Yang Y, Hyatt T, Xing J.
europepmc   +1 more source

Half-Reeb components, Palais-Smale condition and global injectivity of local diffeomorphisms in R3 [PDF]

, 2014
Let F = (F1, F2, F3): R3 → R3 be a C∞ local diffeomorphism. We prove that each of the following conditions are sufficient to the global injectivity of F: A) The foliations FFi made up by the connected components of the level surfaces Fi = constant ...
Braun, Francisco, Venato-Santos, Jean
core   +1 more source

On an Ambrosetti-Prodi Type Problem with Applications in Modeling Real Phenomena

Mathematics
This work presents a solving method for problems of Ambrosetti-Prodi type involving p-Laplacian and p-pseudo-Laplacian operators by using adequate variational methods. A variant of the mountain pass theorem, together with a kind of Palais-Smale condition,
Irina Meghea
doaj   +1 more source

The Use of Cerami Sequences in Critical Point Theory

Abstract and Applied Analysis, 2007
The concept of linking was developed to produce Palais-Smale (PS) sequences G(uk)→a, G'(uk)→0 for C1functionals G that separate linking sets. These sequences produce critical points if they have convergent subsequences (i.e., if G satisfies the PS ...
Martin Schechter
doaj   +1 more source

A multiplicity result for quasilinear problems with convex and concave nonlinearities and nonlinear boundary conditions inunbounded domains

Electronic Journal of Differential Equations, 2005
We study the following quasilinear problem with nonlinear boundary conditions $$displaylines{ -Delta_{p}u=lambda a(x)|u|^{p-2}u+k(x)|u|^{q-2}u-h(x)|u|^{s-2}u, quad hbox{in }Omega,cr | abla u|^{p-2} abla ucdoteta+b(x)|u|^{p-2}u=0quad hbox{on ...
Dimitrios A. Kandilakis
doaj  

Boundary value problems for the 2nd-order Seiberg-Witten equations

Boundary Value Problems, 2005
It is shown that the nonhomogeneous Dirichlet and Neuman problems for the 2nd-order Seiberg-Witten equation on a compact 4-manifold X admit a regular solution once the nonhomogeneous Palais-Smale condition ℋ is satisfied.
Celso Melchiades Doria
doaj   +1 more source