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20062015
most citedConcepts and evolution of research in the field of wireless sensor networks

42 citations

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math.AP2012

Some existence and regularity results for porous media and fast diffusion equations with a gradient term

Boumediene Abdellaoui, Ireneo Peral, Magdalena Walias

In this paper we consider the problem $$(P)\qquad \{{array}{rclll} u_t-\D u^m&=&|\n u|^q +\,f(x,t),&\quad u\ge 0 \hbox{in} Ω_T\equiv Ω\times (0,T), u(x,t)&=&0 &\quad \hbox{on} \par…

math.AP2007

Nodal solutions to quasilinear elliptic equations on compact Riemannian manifolds

Mohammed Benalili

We show the existence of nodal solutions to perturbed quasilinear elliptic equations with critical Sobolev exponent on compact Riemannian manifolds. A nonexistence result is also g…