Results 161 to 170 of about 1,117,308 (199)

Vegetation type conversion in Northeast China under permafrost change. [PDF]

Commun Biol
Zhou S, Guo Y, Liu S, Qiu L, Zhang C, Xia H, Shan W.   +6 more
europepmc   +1 more source

MOUNTAIN PASS THEOREM WITH INFINITE DISCRETE SYMMETRY

MOUNTAIN PASS THEOREM WITH INFINITE DISCRETE SYMMETRY
openaire   +3 more sources

The mountain pass theorem in terms of tangencies [PDF]

Journal of Mathematical Analysis and Applications
his paper addresses the Mountain Pass Theorem for locally Lipschitz functions on finite-dimensional vector spaces in terms of tangencies. This reduces to the Mountain Pass Theorem of Ambrosetti and Rabinowitz in the case where the function f is definable
Si Tiep Dinh, Tiến-Sơn Pham
exaly   +3 more sources

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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.
exaly   +3 more sources

An alternative proof of the mountain pass theorem for a class of functionals

Journal of Global Optimization, 2012
The authors present an alternative proof of the well known mountain pass theorem by the use of the Ekeland variational principle for a class of \(C^1\)-functionals.
Marcelo Montenegro
exaly   +3 more sources

A Strong Form of the Mountain Pass Theorem and Application

Mathematical Sciences Research Institute Publications, 1988
Variational methods are a strong tool in proving existence of solutions of differential equations. In this paper we prove a strong form of the mountain pass theorem which was prompted by the need of a theorem which, besides an existence statement for critical points, gives in addition information about the “fine structure” of the functional near to ...
exaly   +2 more sources

A VARIANT OF THE MOUNTAIN-PASS THEOREM

, 2013
An existence result for a critical point of mountain-pass type, where the classical Palais-Smale condition is not required, is presented. A multiple-critical-point result is then obtained As an application, the existence of two positive classical solutions for two-point boundary-value problems, without assuming any asymptotic condition on the ...
BONANNO, Gabriele, D'AGUI', GIUSEPPINA
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A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations [PDF]

Journal of Functional Analysis, 2005
For an even functional on a Banach space, the symmetric mountain pass lemma gives a sequence of critical values which converges to zero. Under the same assumptions on the functional, this paper establishes a new critical point theorem which provides a ...
Ryuji Kajikiya
exaly   +2 more sources

Minimization and Mountain-Pass Theorems

2001
In this introductory chapter, we consider the concept on differentiability of mappings in Banach spaces, Frechet and Gâteaux derivatives, secondorder derivatives and general minimization theorems. Variational principles of Ekeland [Ek1] and Borwein & Preiss [BP] are proved and relations to the minimization problem are given. Deformation lemmata, Palais—
Maria do Rosário Grossinho, Stepan Agop Tersian   +1 more
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The Mountain Pass Theorem

2003
This 2003 book presents min-max methods through a study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The reader is led from the most accessible results to the forefront of the theory, and at each step in this walk between the hills, the author presents the extensions and variants of the MPT in a ...
openaire   +1 more source