Results 61 to 70 of about 222 (73)

First integrals for problems of calculus of variations on locally convex spaces [PDF]

open access: yes, 2008
The fundamental problem of calculus of variations is considered when solutions are differentiable curves on locally convex spaces. Such problems admit an extension of the Eulcr-Lagrange equations (Orlov.
Rocha, E.A.M., Torres, D.F.M.
core  

Concentrating solutions for double critical fractional Schrödinger-Poisson system with p-Laplacian in ℝ3

open access: yesAdvances in Nonlinear Analysis
In this article, we consider the following double critical fractional Schrödinger-Poisson system involving p-Laplacian in R3{{\mathbb{R}}}^{3} of the form: εsp(−Δ)psu+V(x)∣u∣p−2u−ϕ∣u∣ps♯−2u=∣u∣ps*−2u+f(u)inR3,εsp(−Δ)sϕ=∣u∣ps♯inR3,\left\{\begin{array}{l}{\
Liang Shuaishuai   +2 more
doaj   +1 more source

Existence of infinitely many solutions for the fractional Schr\"odinger- Maxwell equations

open access: yes, 2015
In this paper, by using variational methods and critical point theory, we shall mainly study the existence of infinitely many solutions for the following fractional Schr\"odinger-Maxwell equations $$( -\Delta )^{\alpha} u+V(x)u+\phi u=f(x,u), \hbox{in } \
Wei, Zhongli
core  

Continuous dependence on parameters for second order discrete BVP’s

open access: yesOpen Mathematics, 2012
Galewski Marek, Głąb Szymon
doaj   +1 more source

On variational impulsive boundary value problems

open access: yesOpen Mathematics, 2012
Galewski Marek
doaj   +1 more source
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The ground states for the non-cooperative autonomous systems involving the fractional Laplacian

, 2022
The aim of this paper is to study the the following non-cooperative autonomous systems involving the fractional Laplacian(−∆)su + λu = g(v), in RN,(−∆)sv + λv = f(u), in RN,where s ∈ (0, 1), N > 2s, λ > 0, (−∆)s is the fractional Laplacian and f and g ...
Suhong Li   +3 more
semanticscholar   +1 more source

A three critical points result in a bounded domain of a Banach space and applications

Differential and Integral Equations, 2017
Using the bounded mountain pass lemma and the Ekeland variational principle we prove a bounded version of the Pucci–Serrin three critical points result in the intersection of a ball with a wedge in a Banach space.
Radu Precup, P. Pucci, C. Varga
semanticscholar   +1 more source

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