Results 261 to 270 of about 26,524 (298)

Mountain Pass Solutions for a Double-Well Energy

open access: yesJournal of Differential Equations, 2002
We establish the existence of a mountain pass solution for a variational integral involving a quasiconvex function with a double-well structure in the geometrically linear elasticity setting.
Kewei Zhang
exaly   +3 more sources

A Mountain Pass to the Jacobian Conjecture

Canadian Mathematical Bulletin, 1998
AbstractThis paper presents an approach to injectivity theorems via the Mountain Pass Lemma and raises an open question. The main result of this paper (Theorem 1.1) is proved by means of the Mountain Pass Lemma and states that if the eigenvalues of are uniformly bounded away from zero for x ∊ Rn, where is a class C1 map, then F is injective. This was
Chamberland, Marc, Meisters, Gary
openaire   +1 more source

On the Mountain Pass

2021
This chapter focuses on Stanisław Witkiewicz, who largely contributed to the discovery and popularity of Zakopane. However, he credited Chałubiński for the discovery of the Tatras. The Jewish presence in Zakopane was viewed differently by various parties to the highland encounter.
openaire   +1 more source

An Application of a Mountain Pass Theorem

Acta Mathematica Sinica, English Series, 2002
The present paper is devoted to study the following Dirichlet problem: \[ -\Delta u=f(x,u), \quad x\in\Omega,\;u\in H^1_0(\Omega),\tag{1} \] where \(\Omega\) is a bounded smooth domain in \(\mathbb{R}^N\), with \(f(x,t)\) asymptotically linear in \(t\) at infinity.
openaire   +2 more sources

Computing mountain passes and transition states

Mathematical Programming, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jorge J. Moré, Todd S. Munson
openaire   +1 more source

On the sign of the mountain pass solution

Nonlinear Analysis: Theory, Methods & Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Costa, D. G., Tehrani, H.
openaire   +1 more source

A Variation of the Mountain Pass Lemma and Applications

Journal of the London Mathematical Society, 1991
This paper studies functionals \(f\in C^ 1(H,\mathbb{R})\) \((H\)-Hilbert space) satisfying the conditions of the mountain pass lemma with the exception of the PS condition. The author was able to find \(c\in\mathbb{R}\) such that for any rapidly decreasing function \(\psi:\mathbb{R}_ +\to\mathbb{R}_ +\) there is a sequence \((u_ j)\subset H ...
openaire   +1 more source

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