共查询到20条相似文献,搜索用时 31 毫秒
1.
The authors consider the finite volume approximation of a reaction-diffusion system with fast reversible reaction.It is deduced from a priori estimates that the approximate solution converges to the weak solution of the reaction-diffusion problem and satisfies estimates which do not depend on the kinetic rate.It follows that the solution converges to the solution of a nonlinear diffusion problem,as the size of the volume elements and the time steps converge to zero while the kinetic rate tends to infinity. 相似文献
2.
In this paper we deal with the existence of weak solutions for the following Neumann problem¶¶$ \left\{{ll} -\mathrm{div}(|\nabla u|^{p-2}\nabla u) + \lambda(x)|u|^{p-2}u = \alpha(x)f(u) + \beta(x)g(u) $ \left\{\begin{array}{ll} -\mathrm{div}(|\nabla u|^{p-2}\nabla u) + \lambda(x)|u|^{p-2}u = \alpha(x)f(u) + \beta(x)g(u) &; $ \mbox{in $ \mbox{in \Omega$}\\ {\partial u \over \partial \nu} = 0 $}\\ {\partial u \over \partial \nu} = 0 &; $ \mbox{on $ \mbox{on \partial \Omega$} \right. $}\end{array} \right. ¶¶ where $ \nu $ \nu is the outward unit normal to the boundary $ \partial\Omega $ \partial\Omega of the bounded open set _boxclose^N \Omega \subset \mathbb{R}^N . The existence of solutions, for the above problem, is proved by applying a critical point theorem recently obtained by B. Ricceri as a consequence of a more general variational principle. 相似文献
3.
E. V. Chebotaryova 《Russian Mathematics (Iz VUZ)》2010,54(5):75-77
In this paper we apply the method of potentials for studying the Dirichlet and Neumann boundary-value problems for a B-elliptic equation in the form
$
\Delta _{x'} u + B_{x_{p - 1} } u + x_p^{ - \alpha } \frac{\partial }
{{\partial x_p }}\left( {x_p^\alpha \frac{{\partial u}}
{{\partial x_p }}} \right) = 0
$
\Delta _{x'} u + B_{x_{p - 1} } u + x_p^{ - \alpha } \frac{\partial }
{{\partial x_p }}\left( {x_p^\alpha \frac{{\partial u}}
{{\partial x_p }}} \right) = 0
相似文献
4.
Bruno Pini 《Annali di Matematica Pura ed Applicata》1959,48(1):305-332
Sunto Si studia il problema della determinazione di una soluzione dell'equazione
ak(x)∂ku/∂xk=f(x, y) entro la semistriscia a≤x≤b, y≥0, che assuma assegnati valori per y=0 e per x=a, x1, x2, b (a<x1<x2<b). Analogamente si studia il problema della determinazione di una soluzione dell' equazione
ak(x)∂ku/∂xk+b(x)∂u/∂y=f(x,y), entro la medesima semistriscia, cha assuma assegnati valori per y=0 e per x=a, x1, x2, b e la cui ∂/∂y assuma assegnati valori per y=0.
A Giovanni Sansone nel suo 70mo compleanno. 相似文献
5.
Yanheng Ding Shixia Luan Michel Willem 《Journal of Fixed Point Theory and Applications》2007,2(1):117-139
We study existence and multiplicity of homoclinic type solutions to the following system of diffusion equations on
\mathbbR ×W{\mathbb{R}} \times \Omega
:
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