Results 111 to 120 of about 2,493,959 (162)

Solutions to Yang-Mills equations that are not self-dual. [PDF]

Proc Natl Acad Sci U S A, 1989
Sibner LM, Sibner RJ, Uhlenbeck K.
europepmc   +1 more source

Modeling and simulation of electronic structure, material interface and random doping in nano electronic devices. [PDF]

J Comput Phys, 2010
Chen D, Wei GW.
europepmc   +1 more source

Gravitational Lensing from a Spacetime Perspective. [PDF]

Living Rev Relativ, 2004
Perlick V.
europepmc   +1 more source

A PALAIS–SMALE APPROACH TO SOBOLEV SUBCRITICAL OPERATORS

, 2010
[[abstract]]In this article, we use Palais–Smale approaches to describe the achieved and nonachieved domains. We characterizes the achieved domain by the existence of a ground state solution for the energy functional J in.[[fileno]]2010234010005 ...
Huei-li Lin;Hwai-chiuan Wang;Tsung-fang Wu
core  

Existence of solutions for degenerate Kirchhoff type problems with fractional p-Laplacian

Electronic Journal of Differential Equations, 2017
In this article, by using the Fountain theorem and Mountain pass theorem in critical point theory without Palais-Smale (PS) condition, we show the existence and multiplicity of solutions to the degenerate Kirchhoff type problem with the fractional p ...
Nemat Nyamoradi, Lahib Ibrahim Zaidan
doaj  

Bifurcation theory and the type numbers of marston morse. [PDF]

Proc Natl Acad Sci U S A, 1972
Berger MS.
europepmc   +1 more source

Palais-Smale decomposition lemmas in axially symmetry domains

, 2010
[[abstract]]In this article, we first establish a Palais Smale decomposition lemma, then apply it to assert the existence of solutions of equation (I) in y-symmetric unbounded domains.[[fileno]]2010234010004[[department ...
Wang HC;Wu TF
core  

An elliptic equation with spike solutions concentrating at local minima of the Laplacian of the potential

Electronic Journal of Differential Equations, 2000
We consider the equation $-epsilon^2 Delta u + V(z)u = f(u)$ which arises in the study of nonlinear Schr"odinger equations. We seek solutions that are positive on ${mathbb R}^N$ and that vanish at infinity.
Gregory S. Spradlin
doaj  

Nondegenerate real-valued differentiable functions. [PDF]

Proc Natl Acad Sci U S A, 1967
Morse M.
europepmc   +1 more source

Palais-Smale Condition, Index Pairs and Critical Point Theory

, 2000
This paper is concerned with index pairs in the sense of Conley index theory for flows relative to pseudo-gradient vector fields for $C^1$-functions satisfying Palais-Smale condition. We prove a deformation theorem for such index pairs to obtain a Lusternik-Schnirelmann type result in Conley index theory.
openaire   +2 more sources