Multiple solutions for a fractional $p$-Laplacian equation with sign-changing potential
We use a variant of the fountain Theorem to prove the existence of infinitely many weak solutions for the following fractional p-Laplace equation (-\Delta)^{s}_{p}u+V(x)|u|^{p-2}u=f(x,u) in R^N, where $s \in (0,1)$,$ p \geq 2$,$ N \geq 2$, $(-\Delta)^{s ...
Ambrosio, Vincenzo
core
Infinitely many normalized solutions for Schrödinger equations with local sublinear nonlinearity
In this article, we investigate the following Schrödinger equation: −Δu=h(x)g(u)+λuinRN,∫RN∣u∣2dx=au∈H1(RN),\left\{\begin{array}{ll}-\Delta u=h\left(x)g\left(u)+\lambda u\hspace{1.0em}& \hspace{-0.2em}\text{in}\hspace{0.1em}\hspace{0.33em}{{\mathbb{R}}}^{
Xu Qin, Li Gui-Dong
doaj +1 more source
A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity
This article considers existence of solution for a class of fractional Schrödinger-Poisson system. By using the Nehari method and the variational method, we obtain a uniqueness result for positive solutions.
Wang Li +4 more
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Standing waves for Choquard equation with noncritical rotation
We investigate the existence and stability of standing waves with prescribed mass c>0c\gt 0 for Choquard equation with noncritical rotation in Bose-Einstein condensation. Then, we consider the mass collapse behavior of standing waves, the ratio of energy
Mao Yicen, Yang Jie, Su Yu
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Existence results for non-coercive problems
In this article, we investigate non-coercive variational equations under assumptions related to generalized monotonicity. We present some general abstract tools regarding the existence of bounded solutions and their multiplicity, which we then apply to ...
Diblík Josef +2 more
doaj +1 more source
A weighted denoising method based on Bregman iterative regularization and gradient projection algorithms. [PDF]
Tong B.
europepmc +1 more source
Existence of nontrivial weak solutions for a quasilinear Choquard equation. [PDF]
Lee J, Kim JM, Bae JH, Park K.
europepmc +1 more source
HARDI DATA DENOISING USING VECTORIAL TOTAL VARIATION AND LOGARITHMIC BARRIER. [PDF]
Kim Y, Thompson PM, Vese LA.
europepmc +1 more source
Variational structures for the Fokker-Planck equation with general Dirichlet boundary conditions. [PDF]
Quattrocchi F.
europepmc +1 more source
Traveling waves and effective mass for the regularized Landau-Pekar equations. [PDF]
Rademacher S.
europepmc +1 more source

