Results 51 to 60 of about 275 (109)

Existence results for critical growth Kohn-Laplace equations with jumping nonlinearities

Demonstratio Mathematica
This article is concerned with the existence of nontrivial solutions to critical growth Kohn-Laplace equations with jumping nonlinearities. Or, more specifically, we consider the following Kohn-Laplace problem: −ΔHu=bu+−au−+∣u∣Q∗−2u,inΩ,u=0,on∂Ω,\left ...
An Yu-Cheng, Tian Guai-Qi, An Bi-Jun
doaj   +1 more source

Existence and regularity of weak solutions to the prescribed mean curvature equation for a nonparametric surface

, 1999
Abstract and Applied Analysis, Volume 4, Issue 1, Page 61-69, 1999.
P. Amster, M. Cassinelli, M. C. Mariani, D. F. Rial   +3 more
wiley   +1 more source

The concentration-compactness principles for Ws,p(·,·)(ℝN) and application

Advances in Nonlinear Analysis, 2020
We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
doaj   +1 more source

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

Ground state solutions for Kirchhoff-type equations with a general nonlinearity in the critical growth

Advances in Nonlinear Analysis, 2018
In this paper, we concern ourselves with the following Kirchhoff-type equations:
Xu Li-Ping, Chen Haibo
doaj   +1 more source

Multiple solutions for a Kirchhoff-type equation with general nonlinearity

Advances in Nonlinear Analysis, 2018
This paper is devoted to the study of the following autonomous Kirchhoff-type equation:
Lu Sheng-Sen
doaj   +1 more source

Noncoercive resonant (p,2)-equations with concave terms

Advances in Nonlinear Analysis, 2018
We consider a nonlinear Dirichlet problem driven by the sum of a p-Laplace and a Laplacian (a (p,2){(p,2)}-equation). The reaction exhibits the competing effects of a parametric concave term plus a Caratheodory perturbation which is resonant with respect
Papageorgiou Nikolaos S., Zhang Chao
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

Nonconforming Mixed Discretization Of Second Order Elliptic Problems

, 2007
This paper seeks to extend these ideas to the mixed formulation of second order boundary value problems. A "patch--test" is designed as a powerful tool for probing the viability of nonconforming approximations.
R. Hiptmair
core  

Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation

Advances in Nonlinear Analysis
This article is devoted to study a class of new p(x)p\left(x)-Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem ...
Chu Changmu, Liu Jiaquan
doaj   +1 more source