Published Paper

Inserted: 10 jul 2013
Last Updated: 10 jul 2013

Journal: Nonlinear Analysis
Volume: 90
Pages: 135-158
Year: 2013

Abstract:

We prove comparison principles, uniqueness, regularity and symmetry results for $p$-regular distributional solutions of quasilinear very weak elliptic equations of coercive type and to related inequalities. The simplest model examples are

$-\Delta_p u+ \vert u \vert^{q-1} u =h \quad on \quad R^N$,

where $q>p-1>0$ and

$ -div \left(\frac{\nabla u}{\sqrt{1+\vert{\nabla u}\vert^2}} \right) + \vert u \vert^{q-1}u =h \quad on\quad R^N,$

with $q>0$ and $h\in L^1_{loc}(R^N) $.

Download:

• unicumDaFaMiSe10.pdf