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

Advances 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, Song Yueqiang, Shi Shaoyun +2 more
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Normalized solutions for NLS equations with general nonlinearity on compact metric graphs

Advances in Nonlinear Analysis
In this article, we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on compact metric graphs with the nonlinearity ff that is allowed to be mass-supercritical at infinity.
Zhang Peng, Zhang Jianjun
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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
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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.
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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