Results 51 to 60 of about 284 (107)

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

Non-trivial solutions for Schrödinger-Poisson systems involving critical nonlocal term and potential vanishing at infinity

Open Mathematics, 2019
The present study is concerned with the following Schrödinger-Poisson system involving critical nonlocal ...
Shao Liuyang
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

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

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

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

Least Energy Solutions of Semilinear Neumann Problems and Asymptotics

, 1994
1991 Mathematics Subject Classification. 35B40, 35J20, 35J65.The asymptotic behavior of the least energy solutions of the semilinear Neumann problems involving critical Sobolev exponent on a bounded domain in R^4 is studied. The effect of the geometry of
Pan, Xing-Bin, Xu, Xingwang
core  

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

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