An elliptic equation with an indefinite sublinear boundary condition
An elliptic equation with an indefinite sublinear boundary condition
Abstract We investigate the problem <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo>{</m:mo> <m:mtable columnspacing="0pt" displaystyle="true" rowspacing="0pt"> <m:mtr> <m:mtd columnalign="right"> <m:mrow> <m:mo>-</m:mo> <m:mrow> <m:mi mathvariant="normal">Δ</m:mi> <m:mo></m:mo> <m:mi>u</m:mi> </m:mrow> </m:mrow> </m:mtd> <m:mtd columnalign="left"> <m:mrow> <m:mi /> <m:mo>=</m:mo> <m:mrow> <m:msup> <m:mrow> <m:mo fence="true" stretchy="false">|</m:mo> <m:mi>u</m:mi> <m:mo fence="true" stretchy="false">|</m:mo> </m:mrow> <m:mrow> <m:mi>p</m:mi> <m:mo>-</m:mo> <m:mn>2</m:mn> </m:mrow> </m:msup> <m:mo></m:mo> …