Results 121 to 130 of about 2,493,959 (162)

A Palais-Smale approach to Sobolev subcritical operators

, 2002
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 $\Omega$
Lin, Huei-li, Wag, Hwai-chiuan, Wu, Tsung-fang   +2 more
core  

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

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

Existence of nontrival <i>n</i>-harmonic maps via min-max methods. [PDF]

Calc Var Partial Differ Equ
Martino D, Mazowiecka K, Schikorra 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

Asymptotic behavior of palais-smale sequences associated with fractional yamabe-type equations

In this paper, we analyze the asymptotic behavior of Palais-Smale sequences associated to fractional Yamabe-type equations on an asymptotically hyperbolic Riemannian manifold.
González Nogueras, María del Mar, Fang, Yi   +1 more
core   +1 more source

Remarks on compactness conditions and their application

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

Existence of nontrivial solutions for Schrodinger-Kirchhoff equations with indefinite potentials

Electronic Journal of Differential Equations, 2023
Shuai Jiang, Li-Feng Yin
doaj  

Origin and evolution of the Palais–Smale condition in critical point theory

Journal of Fixed Point Theory and Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michel Willem
exaly   +3 more sources

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The palais-smale condition versus coercivity

Nonlinear Analysis: Theory, Methods & Applications, 1991
Let \(\phi: X\to\mathbb R\) be a given functional on a Banach space \(X\). \(\phi\) is said to be coercive if \(\phi(u)\to +\infty\) as \(\| u\| \to \infty\). This is equivalent to saying that for each \(d\in\mathbb R\), the set \(\Phi^ d=\{u\in X: \phi(u)\leq d\}\) is bounded. A differentiable functional (in the sense of Fréchet) \(\phi: X\to\mathbb R\
David G Costa
exaly   +2 more sources