共查询到20条相似文献,搜索用时 46 毫秒
1.
G. A. Afrouzi S. H. Rasouli 《NoDEA : Nonlinear Differential Equations and Applications》2009,16(6):717-730
In this work, motivated by Wu (J Math Anal Appl 318:253–270, 2006), and using recent ideas from Brown and Wu (J Math Anal
Appl 337:1326–1336, 2008), we prove the existence of nontrivial nonnegative solutions to the following nonlinear elliptic
problem:
$\left\{{ll} -\Delta_{p}u+m(x)\,u^{p-1}=\lambda \,a(x)\, u^{\alpha-1}+b(x)\,u^{\beta-1}, & x \in \Omega,\\ u=0, & x\in\partial\Omega. \right.$\left\{\begin{array}{ll} -\Delta_{p}u+m(x)\,u^{p-1}=\lambda \,a(x)\, u^{\alpha-1}+b(x)\,u^{\beta-1}, & x \in \Omega,\\ u=0, & x\in\partial\Omega. \end{array}\right. 相似文献
2.
The present article is concerned with the following nonlocal elliptic equation involving concave and convex terms, 相似文献
$$\begin{array}{ll}- M \left(\int_\Omega \frac{1}{p(x)}|\nabla u|^{p(x)}{\rm d}x\right)\Big(\Delta_{p(x)}u\Big) \!&=\! \lambda \big(g(x)|u|^{q(x)-2}u\!-\!h(x)\\ &\quad |u|^{r(x)-2}u\big), \quad x\in \Omega,\\ & u = 0,\quad x\in \partial\Omega. \end{array}$$ 3.
Jacques Giacomoni Sweta Tiwari Guillaume Warnault 《NoDEA : Nonlinear Differential Equations and Applications》2016,23(3):24
We discuss the existence and uniqueness of the weak solution of the following quasilinear parabolic equation 相似文献
$$\left\{\begin{array}{ll}u_t-\Delta _{p(x)}u = f(x,u)&\quad \text{in }\quad Q_T \stackrel{{\rm{def}}}{=} (0,T)\times\Omega,\\u = 0 & \quad\text{on}\quad \Sigma_T\stackrel{{\rm{def}}}{=} (0,T)\times\partial\Omega,\\u(0,x)=u_0(x)& \quad \text{in}\quad \Omega \end{array}\right.\quad\quad (P_{T})$$ 4.
Giovanni Anello 《Monatshefte für Mathematik》2011,185(2):1-18
We study the behavior of positive solutions of the following Dirichlet problem
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