Results 61 to 70 of about 1,192 (101)

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  

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  

Regularity of minimizers for double phase functionals of borderline case with variable exponents

Advances in Nonlinear Analysis
The aim of this article is to study regularity properties of a local minimizer of a double phase functional of type ℱ(u)≔∫Ω(∣Du∣p(x)+a(x)∣Du∣p(x)log(e+∣Du∣))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }({| Du| }^{p\left(x)}+a ...
Ragusa Maria Alessandra, Tachikawa Atsushi   +1 more
doaj   +1 more source

Rates of convergence for regression with the graph poly-Laplacian. [PDF]

Sampl Theory Signal Process Data Anal, 2023
Trillos NG, Murray R, Thorpe M.
europepmc   +1 more source

On existence of minimizers for the Hardy-Sobolev-Maz'ya inequality [PDF]

arXiv, 2005
We show existence of minimizers for the Hardy-Sobolev-Maz'ya inequality in $R^{m+n}\setminus\R^n$ for $m=1$ and $n>2$ or for $m>2$ and $n>0$.
arxiv  

An Improved Fountain Theorem and Its Application

Advanced Nonlinear Studies, 2017
The main aim of the paper is to prove a fountain theorem without assuming the τ-upper semi-continuity condition on the variational functional. Using this improved fountain theorem, we may deal with more general strongly indefinite elliptic problems with ...
Gu Long-Jiang, Zhou Huan-Song
doaj   +1 more source

Convergence analysis for double phase obstacle problems with multivalued convection term

Advances in Nonlinear Analysis, 2020
In the present paper, we introduce a family of the approximating problems corresponding to an elliptic obstacle problem with a double phase phenomena and a multivalued reaction convection term.
Zeng Shengda, Bai Yunru, Gasiński Leszek, Winkert Patrick   +3 more
doaj   +1 more source