Results 91 to 100 of about 585 (200)
Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations
Boundary Value Problems, 2006 The goal of this paper is to study the existence and the multiplicity of non-trivial weak solutions for some degenerate nonlinear elliptic equations on the whole space RN. The solutions will be obtained in a subspace of the Sobolev space W1/p(RN).
Mihai Mihăilescu
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On Ekeland's Variational Principle and a Minimax Theorem
Journal of Mathematical Analysis and Applications, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities [PDF]
, 1992 Projet PROMATHThis paper deals with state-constrained optimal control problems governed by semilinear elliptic equations or variational inequalities. By using Ekeland's principle, we derive a minimum principle of Pontryagin's type under some stability ...
Bonnans, J. Frederic, Casas, Eduardo
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Le Matematiche, 2006 A drop theorem on ordered metric spaces is established from the (pre) order version of Ekeland’s variational principle in Turinici [An St UAIC Ia (Math), 36 (1990), 329-352]. The logical equivalence between these results is also discussed.
Mihai Turinici
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Positive Solutions for a Nonhomogeneous Kirchhoff Equation with the Asymptotical Nonlinearity in R3
Abstract and Applied Analysis, 2014 We study the following nonhomogeneous Kirchhoff equation: -(a+b∫R3|∇u|2dx)Δu+u=k(x)f(u)+h(x), x∈R3, u∈H1(R3), u>0, x∈R3, where f is asymptotically linear with respect to t at infinity.
Ling Ding, Lin Li, Jin-Ling Zhang
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Journal of Function Spaces, 2020 In this paper, we prove the multiplicity of nontrivial solutions for a class of fractional-order elliptic equation with magnetic field. Under appropriate assumptions, firstly, we prove that the system has at least two different solutions by applying the ...
Jianwen Zhou +2 more
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Topics in Banach spaces. [PDF]
, 1997 by Ho Wing Man.Thesis (M.Phil.)--Chinese University of Hong Kong, 1997.Includes bibliographical references (leaves 85).Introduction --- p.1Chapter 1 --- Preliminaries --- p.3Chapter 1.1 --- Gateaux and Frechet Differentiability --- p.4Chapter 1.2 ...
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Minimization principle in ordered Banach spaces and application via Ekeland's variational principle [PDF]
, 2017 Amina Boucenna +3 more
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SOME RESULTS RELATED TO CARISTI'S FIXED POINT THEOREM AND EKELAND'S VARIATIONAL PRINCIPLE [PDF]
, 2001 H. K. Pathak, Sanjay Mishra
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Operator inclusions and operator-differential inclusions [PDF]
, 1998 In Chapter 2, we first introduce a generalized inverse differentiability for set-valued mappings and consider some of its properties. Then, we use this differentiability, Ekeland's Variational Principle and some fixed point theorems to consider ...
Bian, Wenming
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