Results 51 to 60 of about 4,030 (152)

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
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A study and an application of the concentration compactness type principle

, 2019
In this article we develop a concentration compactness type principle in a variable exponent setup. As an application of this principle we discuss a problem involving fractional `{\it $(p(x),p^+)$-Laplacian}' and power nonlinearities with exponents $(p^+)^*$, $p_s^*(x)$ with the assumption that the critical set $\{x\in :p_s^*(x)=(p^+)^*\}$ is nonempty.
Panda, Akasmika, Choudhuri, Debajyoti
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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  

The Liouville Equation with Singular Data: A Concentration-Compactness Principle via a Local Representation Formula

Journal of Differential Equations, 2002
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BARTOLUCCI, DANIELE, TARANTELLO, GABRIELLA   +1 more
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Existence of solutions for p-Laplacian equations with electromagnetic fields and critical nonlinearity

Electronic Journal of Differential Equations, 2015
In this article, we study the perturbed p-Laplacian equation problems with critical nonlinearity in R^N. By using the concentration compactness principle and variational method, we establish the existence and multiplicity of nontrivial solutions of ...
Zhongyi Zhang
doaj  

A Nonhomogeneous Fractional p-Kirchhoff Type Problem Involving Critical Exponent in ℝN

Advanced Nonlinear Studies, 2017
This paper concerns itself with the nonexistence and multiplicity of solutions for the following fractional Kirchhoff-type problem involving the critical Sobolev exponent:
Xiang Mingqi, Zhang Binlin, Zhang Xia
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Stable solitary waves for one-dimensional Schrodinger-Poisson systems

Electronic Journal of Differential Equations, 2016
Based on the concentration compactness principle, we shoe the existence of ground state solitary wave solutions for one-dimensional Schrodinger-Poisson systems with large L2-norm in the energy space.
Guoqing Zhang, Weiguo Zhang, Sanyang Liu
doaj  

Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions

Discrete Dynamics in Nature and Society
In this article, we consider a class of nonlocal p(x)-Laplace equations with nonlinear boundary conditions. When the nonlinear boundary involves critical exponents, using the concentration compactness principle, mountain pass lemma, and fountain theorem,
Jie Liu, Qing Miao
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The concentration-compactness principle for Musielak-Orlicz spaces and applications

This paper extends the Concentration-Compactness Principle to Musielak-Orlicz spaces, working in both bounded and unbounded domains. We show that our results include important special cases like classical Orlicz spaces, variable exponent spaces, double phase spaces, and a new type of double phase problem where the exponents depend on the solution ...
Bahrouni, Ala Eddine, Bahrouni, Anouar
openaire   +2 more sources