Results 11 to 20 of about 26,524 (298)
Journal of Differential Equations, 1985 In this paper we establish a new version of the well-known theorem of Ambrosetti and Rabinowitz on the existence of critical points for functionals \(I: X\to {\mathbb{R}}\) of class \(C^ 1\) on a real Banach space X. As usual, a compactness condition of Palais-Smale type is assumed throughout, including a version particularly suited to the periodic ...
PUCCI, Patrizia, J. SERRIN
openaire +4 more sources
A Mountain Pass for Reacting Molecules [PDF]
Annales Henri Poincaré, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lewin, Mathieu
core +5 more sources
Numerical Mountain Pass and its Applications [PDF]
PAMM, 2006 AbstractThe mountain pass theorem is an important tool in the calculus of variations and in finding solutions to nonlinear PDEs in general. The mountain pass structure can be exploited numerically, as well. We explain the main ideas on an example of buckling of a cylindrical shell.
Horák, J., Lord, G.J., Peletier, M.A.
openaire +2 more sources
Advances in Applied Mathematics, 1991 The paper develops variational methods allowing to find the critical points of a continuously differentiable functional on a real Banach space. A modification of the mountain pass lemma concerning sequences that tend to the studied critical points is given.
Schechter, Martin
openaire +3 more sources
A Mountain Pass Theorem for a Suitable Class of Functions
Rocky Mountain Journal of Mathematics, 2009 In this article, a mountain pass theorem is obtained for a functional of the form \(J=\Phi-\Psi\) defined on a reflexive real Banach space, where \(\Phi\) and \(\Psi\) are continuously Gâteau differentiable functions, \(\Phi\) is convex, and \(J_M = \Phi-\Psi_M\) satisfies the Palais--Smale condition (PS)\(_c\) with \(\Psi_M\) the cut-off function at a
Gabriele Bonanno
exaly +6 more sources
Cylinder Buckling: The Mountain Pass as an Organizing Center [PDF]
SIAM Journal on Applied Mathematics, 2006 We revisit the classical problem of the buckling of a long thin axially compressed cylindrical shell. By examining the energy landscape of the perfect cylinder we deduce an estimate of the sensitivity of the shell to imperfections. Key to obtaining this is the existence of a mountain pass point for the system.
Jirí Horák +2 more
openaire +4 more sources
The most remarkable migrants-systematic analysis of the Western European insect flyway at a Pyrenean mountain pass. [PDF]
Proc Biol SciIn autumn 1950 David and Elizabeth Lack chanced upon a huge migration of insects and birds flying through the Pyrenean Pass of Bujaruelo, from France into Spain, later describing the spectacle as combining both grandeur and novelty. The intervening years
Hawkes WL +9 more
europepmc +2 more sources
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 +2 more
doaj +1 more source
Projets de Paysage, 2021 Following a comparative analysis, the article explores the practices and representations associated with mountain pass landscapes among the communities of cyclists and trekkers.
Yannick Hascoët +4 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