Results 1 to 10 of about 869,106 (168)

Existence, Uniqueness, and Input-to-State Stability of Ground State Stationary Strong Solution of a Single-Species Model via Mountain Pass Lemma [PDF]

Complexity, 2021
In this study, the authors utilize mountain pass lemma, variational methods, regularization technique, and the Lyapunov function method to derive the unique existence of the positive classical stationary solution of a single-species ecosystem ...
Ruofeng Rao, Quanxin Zhu, Jialin Huang
doaj   +4 more sources

An extension of the mountain pass lemma

Applied Mathematics Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lizhou Wang
exaly   +4 more sources

Mountain pass lemma and new periodic solutions of the singular second order Hamiltonian system [PDF]

Boundary Value Problems, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fengying Li
exaly   +2 more sources

LargeH-surfaces via the mountain-pass-lemma

Mathematische Annalen, 1985
L'A. considère le système \(\Delta u=2Hu_ x\wedge u_ y\) où \(B=disque\) unité de \({\mathbb{R}}^ 2\) avec condition de Dirichlet ou condition de Plateau. L'énergie associée à ce système est \(E(u)=(1/2)\int | \nabla u|^ 2+(2H/3)\int u\circ u_ x\bigwedge u_ x\). L'A. montre que si E admet un minimum local \b{u}, alors il existe une deuxième solution \(\
Michael Struwe
exaly   +2 more sources

Symmetric mountain pass lemma and sublinear elliptic equations

Journal of Differential Equations, 2016
This paper deals with the qualitative analysis of solutions of a class of quasilinear elliptic equations with Dirichlet zero boundary condition. The main result of this paper establishes a necessary and sufficient condition such that the zero solution is an accumulation point of the set of all solutions.
Ryuji Kajikiya
exaly   +3 more sources

A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations

Journal of Functional Analysis, 2005
In this paper it is proved a critical point theorem of mountain-pass type which yields a sequence of critical points converging to zero. The proof combines a pseudo-gradient property with a deformation lemma. The abstract result is applied for proving a multiplicity result for the semilinear elliptic equation \(-\Delta u=f(x,u)\) in \(\Omega\) under ...
Ryuji Kajikiya
exaly   +3 more sources

ON A NEW FIXED POINT THEOREM ON HILBERT SPACES VIA THE MOUNTAIN PASS LEMMA AND APPLICATIONS TO ELLIPTIC BOUNDARY VALUE PROBLEMS [PDF]

International Journal of Pure and Applied Mathematics, 2016
In this paper we present a new fixed point theorem in Hilbert spaces. Using a suitable critical point theorem we provide conditions under which potential operators have a fixed point. An application is given to illustrate the theory.
D O'Regan
exaly   +2 more sources

A generalized mountain pass lemma with a closed subset for locally Lipschitz functionals [PDF]

Applicable Analysis, 2021
arXiv admin note: text overlap with arXiv:1405 ...
Li, Fengying, Li, Bingying, Zhang, Shiqing   +2 more
openaire   +2 more sources

Existence and multiplicity of solutions for a fourth-order differential system with instantaneous and non-instantaneous impulses

Open Mathematics, 2023
The main purpose is to establish the variational structure of a fourth-order ordinary differential system with both instantaneous and non-instantaneous impulses.
Xia Minggang, Zhang Xingyong, Xie Junping   +2 more
doaj   +1 more source

Existence and multiplicity of solutions for a new p(x)-Kirchhoff problem with variable exponents

Open Mathematics, 2023
In this article, we study a class of new p(x)-Kirchhoff problem without satisfying the Ambrosetti-Rabinowitz type growth condition. Under some suitable superliner conditions, we introduce new methods to show the boundedness of Cerami sequences.
Chu Changmu, Xie Yanling, Zhou Dizhi
doaj   +1 more source