Results 71 to 80 of about 218 (139)
Epithelial-to-mesenchymal transition proceeds through directional destabilization of multidimensional attractor. [PDF]
Elife, 2022 Wang W, Poe D, Yang Y, Hyatt T, Xing J.
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On an Ambrosetti-Prodi Type Problem with Applications in Modeling Real Phenomena
MathematicsThis 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
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Electronic Journal of Differential Equations, 2005 We study the following quasilinear problem with nonlinear boundary conditions $$displaylines{ -Delta_{p}u=lambda a(x)|u|^{p-2}u+k(x)|u|^{q-2}u-h(x)|u|^{s-2}u, quad hbox{in }Omega,cr | abla u|^{p-2} abla ucdoteta+b(x)|u|^{p-2}u=0quad hbox{on ...
Dimitrios A. Kandilakis
doaj
On the Palais-Smale condition in geometric knot theory
We prove that various families of energies relevant in geometric knot theory satisfy the Palais-Smale condition (PS) on submanifolds of arclength para\-metrized knots. These energies include linear combinations of the Euler-Bernoulli bending energy with a wide variety of non-local knot energies, such as O'Hara's self-repulsive potentials $E^{α,p}
Freches, Nicolas +3 more
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Nonlinear elliptic systems with exponential nonlinearities
Electronic Journal of Differential Equations, 2002 In this paper we investigate the existence of solutions for {gather*} -mathop{m div}( a(| abla u | ^N)| abla u |^{N-2}u ) = f(x,u,v) quad mbox{in } Omega -mathop{m div}(a(| abla v| ^N)| abla v |^{N-2}v )= g(x,u,v) quad mbox{in } Omega u(x) = v(x) = 0 ...
Said El Manouni, Abdelfattah Touzani
doaj
On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces. [PDF]
Results Math, 2020 Branding V.
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Comptes Rendus. Mathématique, 2002 In this Note, we propose a new proof for the existence of a minimum in the multiconfiguration methods in Quantum Chemistry. We use a Palais–Smale condition with Morse-type information, whose proof is based on the Euler–Lagrange equations, written in a simple and useful way.
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Multiplicity of solutions for a class of elliptic systems in $R^N$
Electronic Journal of Differential Equations, 2006 This article concerns the multiplicity of solutions for the system of equations $$displaylines{ -Delta u + V(epsilon x)u = alpha |u|^{alpha-2}u|v|^{eta}, cr -Delta v + V(epsilon x)v = eta |u|^{alpha}|v|^{eta-2}v }$$ in $mathbb{R}^N$, where $V$ is a ...
Giovany M. Figueiredo
doaj
Standing Waves of the NLS Equation on Locally Finite Weighted Graphs: A Linking Geometry Approach
Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri DergisiWe investigate wave solutions of the nonlinear Schrödinger equation (H-λ)u=f(x,u) on a locally finite weighted graph, where H is the associated Schrödinger operator.
Setenay Akduman
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