Results 81 to 90 of about 969 (93)

Multiple solutions for a fractional $p$-Laplacian equation with sign-changing potential

open access: yes, 2016
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

open access: yesDemonstratio Mathematica
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

open access: yesOpen Mathematics
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
doaj   +1 more source

Standing waves for Choquard equation with noncritical rotation

open access: yesAdvances in Nonlinear Analysis
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
doaj   +1 more source

Existence results for non-coercive problems

open access: yesAdvances in Nonlinear Analysis
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

HARDI DATA DENOISING USING VECTORIAL TOTAL VARIATION AND LOGARITHMIC BARRIER. [PDF]

open access: yesInverse Probl Imaging (Springfield), 2010
Kim Y, Thompson PM, Vese LA.
europepmc   +1 more source

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