Results 71 to 80 of about 2,493,959 (162)

Ground-state solutions of a Hartree–Fock type system involving critical Sobolev exponent

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, ground-state solutions to a Hartree–Fock type system with a critical growth are studied. Firstly, instead of establishing the local Palais–Smale (P.-S.) condition and estimating the mountain-pass critical level, a perturbation method is ...
Xiaoli Zhu, Zushun Min
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The Palais-Smale condition for the energy of some semilinear parabolic equations [PDF]

, 2000
In this paper we show that all the global solutions for some semilinear parabolic equations naturally contain a Palais-Smale sequence as a subsequence and then we apply a global compactness result due to Struwe [16] to the Palais-Smale sequence ...
Ikehata, Ryo
core  

Polytope Novikov homology. [PDF]

J Fixed Point Theory Appl, 2021
Pellegrini A.
europepmc   +1 more source

A mountain pass theorem without Palais–Smale condition

Comptes Rendus. Mathématique, 2005
Given a Hilbert space ( H , 〈 ⋅ , ⋅ 〉 ) , Λ
openaire   +2 more sources

Existence result for the CR-Yamabe equation

Bruno Pini Mathematical Analysis Seminar, 2013
In this note we will prove that the CR-Yamabe equation has infinitely many changing-sign solutions. The problem is variational but the associated functional does not satisfy the Palais-Smale compactness condition; by mean of a suitable group action we ...
Vittorio Martino
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Erratum to: "On a functional satisfying a weak Palais-Smale condition"

Discrete and Continuous Dynamical Systems, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Palais-Smale condition for chiral fields

, 1999
The well known condition of compactness entered by R. Palais and S. Smale| - condition (C) - can be proved traditionally in rare cases, especially if it is considered the problem about critical points for functional f(u), u ∊ E on the surface {u ∊ E : F ...
Suvorov, S.G.
core  

Existence and multiplicity of homoclinic solutions for a second-order Hamiltonian system

Electronic Journal of Qualitative Theory of Differential Equations, 2019
In this paper, we find new conditions to ensure the existence of one nontrivial homoclinic solution and also infinitely many homoclinic solutions for the second order Hamiltonian system $$ \ddot{u}-a(t)|u|^{p-2}u+\nabla W(t,u)=0,\qquad t\in \mathbb{R}, $
Yiwei Ye
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Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]

Entropy (Basel), 2021
Mawhin J, Skrzypek E, Szymańska-Dȩbowska K.   +2 more
europepmc   +1 more source

Asymmetric superlinear problems under strong resonance conditions

Electronic Journal of Differential Equations, 2017
We study the existence and multiplicity of solutions of the problem $$\displaylines{ -\Delta u = -\lambda_1 u^- + g(x,u),\quad \text{in } \Omega; \cr u = 0, \quad \text{on } \partial\Omega, }$$ where $\Omega$ is a smooth bounded domain in $\mathbb{R ...
Leandro Recova, Adolfo J. Rumbos
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