A note on exponential decay properties of ground states for quasilinear elliptic equations

Abstract

We give an explicit formula for exponential decay properties of ground states for a class of quasilinear elliptic equations in the whole space <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper R Superscript upper N"> <mml:semantics> <mml:msup> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">R</mml:mi> </mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi>N</mml:mi> </mml:mrow> </mml:msup> <mml:annotation encoding="application/x-tex">\mathbb {R}^{N}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>.