Results 11 to 20 of about 222 (73)
Existence results for nonlinear elliptic problems on fractal domains
Advances in Nonlinear Analysis, 2016 Some existence results for a parametric Dirichlet problem defined on the Sierpiński fractal are proved. More precisely, a critical point result for differentiable functionals is exploited in order to prove the existence of a well-determined open interval
Ferrara Massimiliano +2 more
doaj +2 more sources
Variational approach to a class of impulsive differential equations
Boundary Value Problems, 2014 In this article, the author discusses the existence of solutions for a class of impulsive differential equations by means of a variational approach different from earlier approaches.MSC:34B37, 45G10, 47H30, 47J30.
D. Guo
semanticscholar +2 more sources
Nonsmooth set variational inequality problems and optimality criteria for set optimization
, 2020 In this work, set-valued optimization problems are considered according to an order relation, which is a partial order on the family such that contains nonempty bounded sets of the space. A generalized convexity is defined for set-valued mapping by using
E. Karaman
semanticscholar +1 more source
Boundary Value Problems, 2014 This paper is devoted to the study of a class of Kirchhoff type problems with critical exponent, concave nonlinearity, and sign-changing weight functions.
Changmu Chu
semanticscholar +2 more sources
On a version of Trudinger-Moser inequality with M\"obius shift invariance [PDF]
, 2009 The paper raises a question about the optimal critical nonlinearity for the Sobolev space in two dimensions, connected to loss of compactness, and discusses the pertinent concentration compactness framework. We study properties of the improved version of
Adimurthi, Tintarev, K.
core +2 more sources
Fixed points of nonexpansive potential operators in Hilbert spaces
Fixed Point Theory and Applications, 2012 In this paper, we show the impact of certain general results by the author on the topic described in the title. Here is a sample:Let (X,〈⋅,⋅〉) be a real Hilbert space and let T:X→X be a nonexpansive potential operator.Then, the following alternative ...
B. Ricceri
semanticscholar +2 more sources
Iterative approximation of a solution of a general variational‐like inclusion in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1159-1168, 2004., 2004 We introduce a class of η‐accretive mappings in a real Banach space and show that the η‐proximal point mapping for η‐m‐accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational‐like inclusions involving η‐accretive mappings in real Banach space, and discuss its convergence criteria.
C. E. Chidume, K. R. Kazmi, H. Zegeye
wiley +1 more source
Existence of fast homoclinic orbits for a class of second-order non-autonomous problems
Boundary Value Problems, 2014 By applying the mountain pass theorem and the symmetric mountain pass theorem in critical point theory, the existence and multiplicity of fast homoclinic solutions are obtained for the following second-order non-autonomous problem: u¨(t)+q(t)u˙(t)−a(t)|u(
Qiongfen Zhang +2 more
semanticscholar +2 more sources
From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem [PDF]
, 2014 The notion of Nash equilibria plays a key role in the analysis of strategic interactions in the framework of $N$ player games. Analysis of Nash equilibria is however a complex issue when the number of players is large.
Blanchet, Adrien, Carlier, Guillaume
core +6 more sources
On fractional logarithmic Schrödinger equations
Advanced Nonlinear Studies, 2022 We study the following fractional logarithmic Schrödinger equation: (−Δ)su+V(x)u=ulogu2,x∈RN,{\left(-\Delta )}^{s}u+V\left(x)u=u\log {u}^{2},\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N≥1N\ge 1, (−Δ)s{\left(-\Delta )}^{s} denotes the fractional Laplace ...
Li Qi, Peng Shuangjie, Shuai Wei
doaj +1 more source