Results 81 to 90 of about 3,762 (154)

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

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

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

Asymmetric superlinear problems under strong resonance conditions

Electronic Journal of Differential Equations, 2017
We study the existence and multiplicity of solutions of the problem $$\displaylines{ -\Delta u = -\lambda_1 u^- + g(x,u),\quad \text{in } \Omega; \cr u = 0, \quad \text{on } \partial\Omega, }$$ where $\Omega$ is a smooth bounded domain in $\mathbb{R ...
Leandro Recova, Adolfo J. Rumbos
doaj  

On the Palais-Smale condition for action integrals

Journal of Functional Analysis, 1992
The author studies the Palais-Smale condition for the action integral \[ f(u) = \int^ 1_ 0 \{\frac 12 | \dot{u}|^ 2 - V(u)\} dt, \quad u\in H^ 1(\mathbb{R}/\mathbb{Z},\mathbb{R}^ n) \] in terms of the potential. This condition was introduced by Palais and Smale in order to find critical points of the action integral.
openaire   +2 more sources

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

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

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

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  

Nonlinear elliptic systems with exponential nonlinearities

Electronic Journal of Differential Equations, 2002
In this paper we investigate the existence of solutions for {gather*} -mathop{m div}( a(| abla u | ^N)| abla u |^{N-2}u ) = f(x,u,v) quad mbox{in } Omega -mathop{m div}(a(| abla v| ^N)| abla v |^{N-2}v )= g(x,u,v) quad mbox{in } Omega u(x) = v(x) = 0 ...
Said El Manouni, Abdelfattah Touzani
doaj