Results 61 to 70 of about 122,427 (176)

Existence for (p, q) critical systems in the Heisenberg group

Advances in Nonlinear Analysis, 2019
This paper deals with the existence of entire nontrivial solutions for critical quasilinear systems (𝓢) in the Heisenberg group ℍn, driven by general (p, q) elliptic operators of Marcellini types.
Pucci Patrizia, Temperini Letizia
doaj   +1 more source

Existence of multiple solutions for a quasilinear Neumann problem with critical exponent

Boundary Value Problems, 2018
The main purpose of this paper is to establish the existence and multiplicity of nontrivial solutions for a quasilinear Neumann problem with critical exponent.
Yuanxiao Li, Suxia Xia
doaj   +1 more source

Existence of positive solutions to Kirchhoff type problems involving singular and critical nonlinearities

Electronic Journal of Differential Equations, 2018
In this study, we study a Kirchhoff type problem involving singular and critical nonlinearities. With aid of variational methods and concentration compactness principle, we prove that the problem admits a weak solution.
Chun-Yu Lei, Gao-Sheng Liu
doaj  

Nonlinear boundary value problems of a class of elliptic equations involving critical variable exponents

Boundary Value Problems, 2019
In this paper, we first obtain the existence of solutions for a class of elliptic equations involving critical variable exponents and nonlinear boundary values by the mountain pass theorem and concentration compactness principle.
Yingying Shan, Yongqiang Fu
doaj   +1 more source

A pre-order principle and set-valued Ekeland variational principle [PDF]

arXiv, 2013
We establish a pre-order principle. From the principle, we obtain a very general set-valued Ekeland variational principle, where the objective function is a set-valued map taking values in a quasi ordered linear space and the perturbation contains a family of set-valued maps satisfying certain property.
arxiv  

The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem [PDF]

, 2018
Julián Fernández Bonder, Nicolas Saintier, Analía Silva   +2 more
  +5 more sources

Infinitely many solutions for the p-fractional Kirchhoff equations with electromagnetic fields and critical nonlinearity

Nonlinear Analysis, 2018
In this paper, we consider the fractional Kirchhoff equations with electromagnetic fields and critical nonlinearity. By means of the concentration-compactness principle in fractional Sobolev space and the Kajikiya's new version of the symmetric mountain ...
Sihua Liang, Jihui Zhang
doaj   +1 more source

Uncertainty principles for the Fock space [PDF]

arXiv, 2015
Several uncertainty principles are proved for the Fock space.
arxiv  

Fractional elliptic problems with two critical Sobolev-Hardy exponents

Electronic Journal of Differential Equations, 2018
By using the mountain pass lemma and a concentration compactness principle, we obtain the existence of positive solutions to the fractional elliptic problem with two critical Hardy-Sobolev exponents at the origin.
Wenjing Chen
doaj  

Motivic splitting principle [PDF]

arXiv, 2016
A variation on the splitting ...
arxiv