Resonant nonlinear periodic problems with the scalar p-Laplacian and a nonsmooth potential [PDF]
, 2006 We study periodic problems driven by the scalar p-Laplacian with a nonsmooth potential. Using the nonsmooth critical point theory for locally Lipsctiz functions,we prove two existence theorems under conditions of resonance at infinity with respect to ...
Staicu, Vasile +6 more
core +1 more source
Existence of solutions and of multiple solutions for nonlinear nonsmooth periodic systems [PDF]
, 1991 summary:In this paper we examine nonlinear periodic systems driven by the vectorial $p$-Laplacian and with a nondifferentiable, locally Lipschitz nonlinearity.
Papageorgiou, EH +7 more
core +1 more source
Existence and multiplicity for degenerate fractional Kirchhoff problems with nonsmooth potential
Electronic Journal of Qualitative Theory of Differential EquationsThis paper investigates a class of nonlocal variable-order fractional $p(\cdot)$-Kirchhoff type equations with nonsmooth nonlinearities \[ \begin{cases} \mathscr{M}\left(\int_{\mathbb{R}^{2N}}\frac{|u(x)-u(y)|^{p(x,y)}}{p(x,y)|x-y|^{N+s(x,y)p(x,y)}}{\rm
Ziqing Yuan
doaj +1 more source
A nonsmooth critical point theory approach to some nonlinear elliptic equations in {${\Bbb R}^n$}
Differential and Integral Equations, 2000 A quasilinear elliptic equation \[ - \sum^{n}_{i,j=1} D_{j}\bigl(a_{ij}(x,u)D_{i}u\bigr) + \frac 12\sum^{n}_{i,j=1} {\partial a_{ij}\over\partial u} (x,u)D_{i}uD_{j}u + b(x)u = f(x,u) \tag{1} \] in \(\mathbb R^{n}\) is studied. Suppose that \(b\in L^\infty_{\text{loc}} (\mathbb R^{n})\) and \(b\geq b_{0}>0\) almost everywhere for a constant \(b_0 ...
GAZZOLA, FILIPPO, RADULESCU V.
openaire +4 more sources
On a global implicit function theorem for locally Lipschitz maps via non-smooth critical point theory [PDF]
Quaestiones Mathematicae, 2017 We prove a non-smooth generalization of the global implicit function theorem. More precisely we use the non-smooth local implicit function theorem and the non-smooth critical point theory in order to prove a non-smooth global implicit function theorem for locally Lipschitz functions. A comparison between several global inversion theorems is discussed.
Galewski, Marek, Rădulescu, Marius
openaire +3 more sources
Do Corporate ESG Disclosures Drive Consumer Demand (Sales)? The Role of Environmental Sensitivity
Business Strategy and the Environment, EarlyView.ABSTRACT The question of whether strong environmental, social, and governance (ESG) disclosure largely benefits high‐demand customers or if it generates value across all sales levels is yet to be empirically verified. This study, therefore, examines how ESG performance influences consumer demand (sales outcomes) among listed firms across African ...
Idorenyin J. Okon +2 more
wiley +1 more source
Periodic solution for second-order impulsive differential inclusions with relativistic operator
Boundary Value Problems, 2018 In this paper, the boundary value problem of a second-order impulsive differential inclusion involving a relativistic operator is studied. First, the singular problem is reduced to an equivalent non-singular problem in order to better apply the ...
Suiming Shang +3 more
doaj +1 more source
Homoclinic solutions for a differential inclusion system involving the p(t)-Laplacian
Advances in Nonlinear Analysis, 2022 The aim of this article is to study nonlinear problem driven by the p(t)p\left(t)-Laplacian with nonsmooth potential. We establish the existence of homoclinic solutions by using variational principle for locally Lipschitz functions and the properties of ...
Cheng Jun, Chen Peng, Zhang Limin
doaj +1 more source
Modeling proppant transport and settling in a 3D propagating fracture
Deep Underground Science and Engineering, EarlyView.A versatile multiphysics tool is presented for simulating the complex processes involved in hydraulic fracturing treatments. The model couples fracture opening and propagation, variable‐density slurry flow, and proppant particle transport within the multiphysics object‐oriented simulation environment framework, based on two‐phase mixture equations and ...
Robert Egert +2 more
wiley +1 more source
Three solutions for second-order impulsive differential inclusions with Sturm-Liouville boundary conditions via nonsmooth critical point theory [PDF]
Topological Methods in Nonlinear Analysis, 2015 A second-order impulsive differential inclusion with Sturm-Liouville boundary conditions is studied. By using a nonsmooth version of a three critical point theorem of Ricceri, the existence of three solutions is obtained.
Tian, Yu +3 more
openaire +2 more sources