Results 101 to 110 of about 1,231,124 (145)

Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy-Sobolev exponent and singular nonlinearity. [PDF]

J Inequal Appl, 2018
Shen L.
europepmc   +1 more source

Fixed-Point Results and the Ekeland Variational Principle in Vector B-Metric Spaces

Axioms
In this paper, we extend the concept of b-metric spaces to the vectorial case, where the distance is vector-valued, and the constant in the triangle inequality axiom is replaced by a matrix. For such spaces, we establish results analogous to those in the
Radu Precup, Andrei Stan
doaj   +1 more source

Well-posed Vector Optimization Problems and Vector Variational Inequalities [PDF]

In this paper we introduce notions of well-posedness for a vector optimization problem and for a vector variational inequality of differential type, we study their basic properties and we establish the links among them.
Rocca Matteo
core  

Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian. [PDF]

ScientificWorldJournal, 2014
Sun G, Mai A.
europepmc   +1 more source

Multiple solutions for Kirchhoff type problem near resonance

Electronic Journal of Differential Equations, 2015
Based on Ekeland's variational principle and the mountain pass theorem, we show the existence of three solutions to the Kirchhoff type problem $$\displaylines{ -\Big(a+b\int_{\Omega}|\nabla u|^2dx \Big) \Delta u =b \mu u^3+f(x,u)+h(x), \quad\text{in
Shu-Zhi Song, Chun-Lei Tang, Shang-Jie Chen   +2 more
doaj  

Existence and multiplicity of solutions for nonhomogeneous Klein-Gordon-Maxwell equations

Electronic Journal of Differential Equations, 2015
This article concerns the nonhomogeneous Klein-Gordon-Maxwell equation $$\displaylines{ -\Delta u+u-(2\omega +\phi)\phi u=|u|^{p-1}u +h(x), \quad\text{in }\mathbb{R}^3,\cr \Delta \phi=(\omega +\phi)u^2,\quad\text{in }\mathbb{R}^3, }$$ where ...
Liping Xu, Haibo Chen
doaj  

Ekeland's variational principle in premetric spaces

Journal of Dynamics & Games
D. Kamburova, Nadia Zlateva
semanticscholar   +1 more source

Minty variational inequalities, increase-along-rays property and optimization [PDF]

Let E be a linear space, K E and f : K ? R. We put in terms of the lower Dini directional derivative a problem, referred to as GMV I(f ,K), which can be considered as a generalization of the Minty variational inequality of differential type (for short ...
Rocca Matteo, Ginchev Ivan, Crespi Giovanni P.   +2 more
core  

On some fixed point results using CG simulation functions via w-distance with applications. [PDF]

Heliyon
Atallaoui S, Hasan F, Shatanawi W, Mustafa Z, Tallafha A.   +4 more
europepmc   +1 more source

A complement to Ekeland's variational principle in Banach spaces

, 1996
We give a sufficient condition to a closed convex hull of the set of the Ekeland's points of a certain lower semicontinuous function defined on a real Banach space X coincides with ...
CHINNI', Antonia, CAMMAROTO, Filippo
core