共查询到20条相似文献,搜索用时 46 毫秒
1.
Patrick Winkert 《NoDEA : Nonlinear Differential Equations and Applications》2010,17(3):289-302
In this paper we prove the L
∞-boundedness of solutions of the quasilinear elliptic equation
$ {ll}
Au \, = f(x,u,\nabla u) &\quad \rm{in }\, \Omega, \\
\dfrac{\partial u}{ \partial \nu} \, = g(x,u) &\quad \rm{on }\, \partial \Omega,
$ \begin{array}{ll}
Au \, = f(x,u,\nabla u) &\quad \rm{in }\, \Omega, \\
\dfrac{\partial u}{ \partial \nu} \, = g(x,u) &\quad \rm{on }\, \partial \Omega,
\end{array} 相似文献
2.
Tommaso Leonori Francesco Petitta 《Calculus of Variations and Partial Differential Equations》2011,42(1-2):153-187
In this paper we deal with local estimates for parabolic problems in ${\mathbb{R}^N}$ with absorbing first order terms, whose model is $$\left\{\begin{array}{l@{\quad}l}u_t- \Delta u +u |\nabla u|^q = f(t,x) \quad &{\rm in}\, (0,T) \times \mathbb{R}^N\,,\\u(0,x)= u_0 (x) &{\rm in}\, \mathbb{R}^N \,,\quad\end{array}\right.$$ where ${T >0 , \, N\geq 2,\, 1 < q \leq 2,\, f(t,x)\in L^1\left( 0,T; L^1_{\rm loc} \left(\mathbb{R}^N\right)\right)}$ and ${u_0\in L^1_{\rm loc}\left(\mathbb{R}^{N}\right)}$ . 相似文献
3.
Pedro M. Santos 《NoDEA : Nonlinear Differential Equations and Applications》2009,16(3):327-353
An integral representation for the functional
4.
This paper deals with the existence and stability properties of positive weak solutions to classes of nonlinear systems involving
the (p,q)-Laplacian of the form
|