Results 71 to 80 of about 1,368 (124)

Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb{R}^N$ [PDF]

, 2012
We construct solutions to a class of Schr\"{o}dinger equations involving the fractional laplacian. Our approach is variational in nature, and based on minimization on the Nehari manifold.
arxiv   +1 more source

Existence results for nonlinear elliptic problems on fractal domains

Advances in Nonlinear Analysis, 2016
Some existence results for a parametric Dirichlet problem defined on the Sierpiński fractal are proved. More precisely, a critical point result for differentiable functionals is exploited in order to prove the existence of a well-determined open interval
Ferrara Massimiliano, Molica Bisci Giovanni, Repovš Dušan   +2 more
doaj   +1 more source

Semiclassical limit for nonlinear Schroedinger equations with electromagnetic fields [PDF]

arXiv, 2001
We prove some multiplicity results by means of a perturbation technique in critical point theory.
arxiv  

(p,2)-equations asymmetric at both zero and infinity

Advances in Nonlinear Analysis, 2018
We consider a (p,2){(p,2)}-equation, that is, a nonlinear nonhomogeneous elliptic equation driven by the sum of a p-Laplacian and a Laplacian with p>2{p>2}.
Papageorgiou Nikolaos S., Rădulescu Vicenţiu D., Repovš Dušan D.   +2 more
doaj   +1 more source

On a class of singularly perturbed elliptic equations in divergence form [PDF]

arXiv, 2003
We prove the existence of one or more solutions to a singularly perturbed elliptic problema with two potential functions.
arxiv  

Regularity for critical fractional Choquard equation with singular potential and its applications

Advances in Nonlinear Analysis
We study the following fractional Choquard equation (−Δ)su+u∣x∣θ=(Iα*F(u))f(u),x∈RN,{\left(-\Delta )}^{s}u+\frac{u}{{| x| }^{\theta }}=({I}_{\alpha }* F\left(u))f\left(u),\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N⩾3N\geqslant 3, s∈12,1s\in \left ...
Liu Senli, Yang Jie, Su Yu
doaj   +1 more source

Interior spikes of a singularly perturbed Neumann problem with potentials [PDF]

arXiv, 2003
In this paper we prove that a singularly perturbed Neumann problem with potentials admits the existence of interior spikes concentrating in maxima and minima of an auxiliary function depending only on the potentials.
arxiv  

Positive solutions for asymptotically linear problems in exterior domains [PDF]

, 2016
The existence of a positive solution for a class of asymptotically lin- ear problems in exterior domains is established via a linking argument on the Nehari manifold and by means of a barycenter function.
arxiv   +1 more source

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
doaj   +1 more source

Infinitely many local minima of sequentially weakly lower semicontinuous functionals [PDF]

Nonlinear Analysis and Convex Analysis , W. Takahashi and T. Tanaka eds., 433-442, Yokohama Publishers, 2003, 2004
We give an overview of some applications of a general variational principle.
arxiv