Results 91 to 100 of about 200 (141)

Gravitational Lensing from a Spacetime Perspective. [PDF]

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

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

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

An existence result for elliptic problems with singular critical growth

Electronic Journal of Differential Equations, 2007
We prove the existence of nontrivial solutions for the singular critical problem $$ -Delta u-mu frac{u}{|x|^{2}}=lambda f(x)u+u^{2^{ast }-1} $$ with Dirichlet boundary conditions.
Yasmina Nasri
doaj  

An infinite dimensional Saddle Point Theorem and application. [PDF]

Bound Value Probl
Colin F, Songo A.
europepmc   +1 more source

Energy identity and no neck property for ε -harmonic and α -harmonic maps into homogeneous target manifolds. [PDF]

Calc Var Partial Differ Equ
Bayer C, Roberts AM.
europepmc   +1 more source

Remarks on compactness conditions and their application

Electronic Journal of Differential Equations, 2023
David G. Costa
doaj