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

, 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

On existence and multiplicity of solutions for a biharmonic problem with weights via Ricceri's theorem

Demonstratio Mathematica
In this work, we consider a special nondegenerate equation with two weights. We investigate multiplicity result of this biharmonic equation. Mainly, our purpose is to obtain this result using an alternative Ricceri’s theorem.
Unal Cihan
doaj +1 more source

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

, 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

On Extended Versions of Dancs- Hegedüs-Medvegyev's Fixed Point Theorem

, 2015
In this article we establish some fixed point (known also as critical point, invariant point) theorems in quasi-metric spaces. Our results unify and further extend in some regards the fixed point theorem proposed by Dancs et al. (1983), the results given
Bao, Truong, Théra, Michel
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Schrödinger equations with magnetic fields and Hardy-Sobolev critical exponents [PDF]

, 2017
This article is motivated by problems in astrophysics. We consider nonlinear Schrödinger equations and related systems with magnetic fields and Hardy-Sobolev critical exponents.
Guo, Zhenyu, Melgaard, Michael, Zou, Wenming +2 more
core

Continuous dependence on parameters for second order discrete BVP’s

Open Mathematics, 2012
Galewski Marek, Głąb Szymon
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Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket