Topological Methods

2012 ◽  
pp. 243-359
Author(s):  
Pavel Drábek ◽  
Jaroslav Milota
Keyword(s):  
Topological Methods

scholarly journals Topological Methods for Searching Barriers and Reaction Paths

2003 ◽  
Vol 91 (18) ◽  
Author(s):  
Sorin Tănase-Nicola ◽  
Jorge Kurchan
Keyword(s):  
Reaction Paths ◽  
Topological Methods

Topological methods in group theory

2018 ◽  
pp. 624-643
Author(s):  
Karlheinz Spindler
Keyword(s):  
Group Theory ◽  
Topological Methods

scholarly journals Variational and Topological Methods for a Class of Nonlinear Equations which Involves a Duality Mapping

2020 ◽  
pp. 56-71
Author(s):  
Jenica Cringanu
Keyword(s):  
Banach Space ◽  
Variational Method ◽  
Critical Points ◽  
Mountain Pass Theorem ◽  
Growth Conditions ◽  
Existence Results ◽  
Duality Mapping ◽  
Topological Methods ◽  
Carathéodory Function ◽  
Direct Variational Method

The purpose of this paper is to show the existence results for the following abstract equation Jpu = Nfu,where Jp is the duality application on a real reflexive and smooth X Banach space, that corresponds to the gauge function φ(t) = tp-1, 1 < p < ∞. We assume that X is compactly imbedded in Lq(Ω), where Ω is a bounded domain in RN, N ≥ 2, 1 < q < p∗, p∗ is the Sobolev conjugate exponent.Nf : Lq(Ω) → Lq′(Ω), 1/q + 1/q′ = 1, is the Nemytskii operator that Caratheodory function generated by a f : Ω × R → R which satisfies some growth conditions. We use topological methods (via Leray-Schauder degree), critical points methods (the Mountain Pass theorem) and a direct variational method to prove the existence of the solutions for the equation Jpu = Nfu.

scholarly journals Geometric and Algebraic Topological Methods in Quantum Mechanics

10.1142/5731 ◽  
2005 ◽  
Author(s):  
Giovanni Giachetta ◽  
Luigi Mangiarotti ◽  
Gennadi Sardanashvily
Keyword(s):  
Quantum Mechanics ◽  
Topological Methods

Topological Methods in Hydrodynamics

2021 ◽  
Author(s):  
Vladimir I. Arnold ◽  
Boris A. Khesin
Keyword(s):  
Topological Methods
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