Results 71 to 80 of about 200 (141)

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
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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
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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
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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  

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  

On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces. [PDF]

Results Math, 2020
Branding V.
europepmc   +1 more source

Infinitely Many Solutions for Schrödinger–Poisson Systems and Schrödinger–Kirchhoff Equations

Mathematics
By applying Clark’s theorem as altered by Liu and Wang and the truncation method, we obtain a sequence of solutions for a Schrödinger–Poisson system −Δu+V(x)u+ϕu=f(u)inR3,−Δϕ=u2inR3 with negative energy.
Shibo Liu
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Solutions to perturbed eigenvalue problems of the p-Laplacian in R^N

Electronic Journal of Differential Equations, 1997
Using a variational approach, we investigate the existence of solutions for non-autonomous perturbations of the p-Laplacian eigenvalue problem $$ -Delta _pu=f(x,u)quad { m in}quad {Bbb R}^N,. $$ Under the assumptions that the primitive $F(x,u)$ of $f(x,u)
Joao Marcos Do O
doaj