Results 11 to 20 of about 13,124,526 (179)

Periodic Solutions for Semilinear Fourth-Order Differential Inclusions via Nonsmooth Critical Point Theory [PDF]

Journal of Function Spaces, 2014
Three periodic solutions with prescribed wavelength for a class of semilinear fourth-order differential inclusions are obtained by using a nonsmooth version critical point theorem. Some results of previous related literature are extended.
Bian-Xia Yang, Hong-Rui Sun
doaj   +5 more sources

Three Solutions for Fourth-Order Impulsive Differential Inclusions via Nonsmooth Critical Point Theory

Journal of Function Spaces, 2018
An existence of at least three solutions for a fourth-order impulsive differential inclusion will be obtained by applying a nonsmooth version of a three-critical-point theorem. Our results generalize and improve some known results.
Dongdong Gao, Jianli Li
doaj   +3 more sources

Nonsmooth critical point theory and nonlinear elliptic equations at resonance [PDF]

Kodai Mathematical Journal, 2000
AbstractIn this paper we complete two tasks. First we extend the nonsmooth critical point theory of Chang to the case where the energy functional satisfies only the weaker nonsmooth Cerami condition and we also relax the boundary conditions. Then we study semilinear and quasilinear equations (involving the p-Laplacian).
Kourogenis, Nikolaos C., Papageorgiou, Nikolaos S.   +1 more
openaire   +6 more sources

EXISTENCE OF SOLUTION FOR A FRACTIONAL DIFFERENTIAL INCLUSION VIA NONSMOOTH CRITICAL POINT THEORY

Korean Journal of Mathematics, 2015
Summary: This paper is concerned with the existence of solutions to the following fractional differential inclusion \[\begin{cases} -\frac{d}{dx}\left(p {}_0D_x^{-\beta}(u'(x))+q {}_xD_1^{-\beta}(u'(x))\right)\in \partial F_u(x,u),\qquad x\in (0,1),\\ u(0)=u(1)=0,\end{cases}\] where \({}_0D_x^{-\beta}\) and \({}_xD_1^{-\beta}\) are left and right ...
Hong-Rui Sun
exaly   +3 more sources

Doubly resonant semilinear elliptic problems via nonsmooth critical point theory [PDF]

Journal of Differential Equations, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
JEAN NOEL CORVELLEC, VIORICA MOTREANU, SACCON, CLAUDIO   +2 more
openaire   +4 more sources

ON EXISTENCE OF THREE SOLUTIONS FOR $p(x)$-KIRCHHOFF TYPE DIFFERENTIAL INCLUSION PROBLEM VIA NONSMOOTH CRITICAL POINT THEORY

Taiwanese Journal of Mathematics, 2015
In this paper, we study a class of differential inclusion problems driven by the $p(x)$-Kirchhoff with non-standard growth depending on a real parameter. Working within the framework of variable exponent spaces, a new existence result of at least three solutions for the considered problem is established by using the nonsmooth version three critical ...
Lian Duan, Cai Zuowei
exaly   +3 more sources

Variance-Guided Regression for Heteroscedastic Data With a Grouping-Based Extension for Nonlinear Prediction. [PDF]

Stat Med
ABSTRACT Although homoscedasticity is often assumed in linear regression, real data may show variance patterns or residual structures that violate this assumption. We propose VarGuid, a variance‐guided framework for two related settings: Covariate‐dependent conditional variance under a global linear mean model, and residual nonlinear mean structure ...
Liu S, Lu M.
europepmc   +2 more sources

Nonsmooth critical point theory and applications to nonlinear differential problems

The motivation for nonsmooth calculus arises from the limitations of classical anal- ysis, where differentiability assumptions often exclude many relevant models. Real world problems in engineering, economics, and optimization frequently involve ir- regular, discontinuous, or nondifferentiable data.
MORABITO, Valeria
openaire   +2 more sources

On Nonsmooth Global Implicit Function Theorems for Locally Lipschitz Functions from Banach Spaces to Euclidean Spaces

Abstract and Applied Analysis, 2022
In this paper, we establish a generalization of the Galewski-Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces.
Guy Degla, Cyrille Dansou, Fortuné Dohemeto   +2 more
doaj   +1 more source

Positive Solutions for Multiparameter Semipositone Discrete Boundary Value Problems via Variational Method

Advances in Difference Equations, 2008
We study the existence, multiplicity, and nonexistence of positive solutions for multiparameter semipositone discrete boundary value problems by using nonsmooth critical point theory and subsuper solutions method.
Guo Zhiming, Yu Jianshe, Zhu Benshi
doaj   +2 more sources