Results 1 to 10 of about 26,524 (298)
Relations between the mountain pass theorem and local minima
Advances in Nonlinear Analysis, 2012 Existence results of two critical points for functionals unbounded from below are established after pointing out a characterization of the mountain pass geometry. Applications to elliptic Dirichlet problems are then presented.
Gabriele Bonanno
exaly +2 more sources
Some of the next articles are maybe not open access.
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
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
2007
Roughly speaking, the basic idea behind the so-called minimax method is the following: Find a critical value of a functional ϕ ∈ C1 (X, ℝ) as a minimax (or maximin) value c ∈ ℝ of ϕ over a suitable class A of subsets of X: $$ c = \mathop {\inf }\limits_{A \in \mathcal{A}} \mathop {\sup }\limits_{u \in A} \phi \left( u \right). $$
openaire +1 more source
Roughly speaking, the basic idea behind the so-called minimax method is the following: Find a critical value of a functional ϕ ∈ C1 (X, ℝ) as a minimax (or maximin) value c ∈ ℝ of ϕ over a suitable class A of subsets of X: $$ c = \mathop {\inf }\limits_{A \in \mathcal{A}} \mathop {\sup }\limits_{u \in A} \phi \left( u \right). $$
openaire +1 more source
Mountain Passes in the Colorado Rockies
Economic Geography, 1949are several other ranges, for example, the Park Range, the Sangre de Cristo, the Sawatch, and the San Juan ranges (Figure 1). Main east-west highways crossing the Colorado Rockies, shown by heavy black lines on the map, lead through numerous passes over which millions of people travel every year (Figures 1 and 2). Among the best known are Fall River (9)
openaire +1 more source
Minimization and Mountain-Pass Theorems
2001In 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 +1 more
openaire +1 more source
Mountain Passes in Epicnemidian Locris
2013Mountain passes are a structural element in the Locrian landscape and at the same time the scene of famous chapters in history. At various points in this monograph it has been commented that the rugged profile of this region, added to the limitations imposed by the northern seaboard, make the irregular longitudinal valleys, the high plateaus to the ...
openaire +1 more source