| 作者：Jacques Giacomoni , Sweta Tiwari |
| 来源：[J].Electronic Journal of Differential Equations(IF 0.426), 2018, Vol.2018 (44,), pp.1-20DOAJ |
| 摘要：First, we discuss the existence, the uniqueness and the regularityof the weak solution to the following parabolic equation involvingthe fractional p-Laplacian,$$\displaylines{u_t+(-\Delta)_{p}^su +g(x,u)= f(x,u)\quad \text{in } Q_T:=\Omega\times (0,T), \cru = 0 \quad \text{in } \... |
全文获取| 作者：Brahim Bougherara , Jacques Giacomoni , Jesus Hernandez |
| 来源：[J].Electronic Journal of Differential Equations(IF 0.426), 2015, Vol.2015 (22), pp.19-30DOAJ |
| 摘要：In this article we study the semilinear singular elliptic problem$$\displaylines{-\Delta u = \frac{p(x)}{u^{\alpha}}\quad \text{in } \Omega \cru = 0\quad \text{on } \partial\Omega,\quad u>0 \text{ in } \Omega,}$$where $\Omega$ is a regular bounded domain of $\mathbb R^{N}$,$\alph... |
| 作者：Jacques Giacomoni , Jyotshana V. Prajapat , Mythily Ramaswamy |
| 来源：[J].Electronic Journal of Differential Equations(IF 0.426), 2007, Vol.Conference (15), pp.107DOAJ |
| 摘要：In this paper, we study the semilinear elliptic problem with critical nonlinearity and an indefinite weight function, namely $$ - Delta u =lambda u + h (x) u^{(n+2)/(n-2)} $$ in a smooth open bounded domain $Omegasubseteq mathbb{R}^n$, $n > 4 $ with Dirichlet boundary conditions ... |
| 作者：Jacques Giacomoni , Jyotshana V. Prajapat , Mythily Ramaswamy |
| 来源：[J].Electronic Journal of Differential Equations(IF 0.426), 2007, Vol.Conference (15), pp.107-126DOAJ |
| 摘要：In this paper, we study the semilinear elliptic problem with critical nonlinearity and an indefinite weight function, namely $$ - Delta u =lambda u + h (x) u^{(n+2)/(n-2)} $$ in a smooth open bounded domain $Omegasubseteq mathbb{R}^n$, $n > 4 $ with Dirichlet boundary conditions ... |
| 作者：Jacques Giacomoni , Divya Goel , K. Sreenadh |
| 来源：[J].Journal of Differential Equations(IF 1.48), 2019Elsevier |
| 摘要：Abstract(#br)The purpose of this article is twofold. First, an issue of regularity of weak solution to the problem ( P ) (see below) is addressed. Secondly, we investigate the question of H s versus C 0 -weighted minimizers of the functional associated to problem ( P ) and then g... |
| 作者：João Marcos do Ó , Jacques Giacomoni , Pawan Kumar Mishra |
| 来源：[J].Nonlinear Differential Equations and Applications NoDEA(IF 0.671), 2019, Vol.26 (4), pp.1-25Springer |
| 摘要：Abstract(#br)In this paper, we study the following nonlocal nonautonomous Hamiltonian system on whole $${\mathbb {R}}$$ R $$\begin{aligned} \left\{ \begin{array}{ll} (-\Delta )^\frac{1}{2}~ u +u=Q(x) g(v)&{}\quad \text{ in } {\mathbb {R}},\\ (-\Delta )^\frac{1}{2}~ v+v = P(x... |
| 作者：Jacques Giacomoni , Paul Sauvy , Sergey Shmarev |
| 来源：[J].Journal of Mathematical Analysis and Applications(IF 1.05), 2014, Vol.410 (2), pp.607-624Elsevier |
| 摘要：Abstract(#br)We study the homogeneous Dirichlet problem for the quasilinear parabolic equation with the singular absorption term ∂ t u − Δ p u + 1 { u > 0 } u − β = f ( x , u ) |
| 作者：Adimurthi , A. Karthik , Jacques Giacomoni |
| 来源：[J].Journal of Differential Equations(IF 1.48), 2016, Vol.260 (11), pp.7739-7799Elsevier |
| 摘要：Abstract(#br)Let n ≥ 2 and Ω ⊂ R n be a bounded domain. Then by Trudinger–Moser embedding, W 0 1 , n ( Ω ) is embedded in an Orlicz space consisting of exponential functions. Consider the corresponding semilinear n -Laplace equation with critical or sub-critical exponen... |
| 作者：Jacques Giacomoni , Sweta Tiwari , Guillaume Warnault |
| 来源：[J].Nonlinear Differential Equations and Applications NoDEA(IF 0.671), 2016, Vol.23 (3)Springer |
| 摘要：Abstract(#br) We discuss the existence and uniqueness of the weak solution of the following quasilinear parabolic equation $$\left\{\begin{array}{ll}u_t-\Delta _{p(x)}u = f(x,u)&\quad \text{in }\quad Q_T \stackrel{{\rm{def}}}{=} (0,T)\times\Omega,\\u = 0 & \quad\text{on}\quad \Si... |
| 作者：Jacques Giacomoni , Ian Schindler , Peter Takáč |
| 来源：[J].Comptes rendus - Mathématique(IF 0.477), 2012, Vol.350 (7-8), pp.383-388Elsevier |
| 摘要：Abstract(#br)We prove the Hölder regularity (Theorem 2.1) for weak solutions to singular quasilinear elliptic equations whose prototype is (P) { − Δ p u = K ( x ) u δ + g ( x ) in Ω ; u | ∂ Ω = 0 , |