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On the planar Kirchhoff-type problem involving supercritical exponential growth

On the planar Kirchhoff-type problem involving supercritical exponential growth

Abstract This article is concerned with the following nonlinear supercritical elliptic problem: <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="block"> <m:mfenced open="{" close=""> <m:mrow> <m:mtable displaystyle="true"> <m:mtr> <m:mtd columnalign="left"> <m:mo>−</m:mo> <m:mi>M</m:mi> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mrow> <m:mo>‖</m:mo> <m:mrow> <m:mo>∇</m:mo> </m:mrow> <m:mi>u</m:mi> <m:msubsup> <m:mrow> <m:mo>‖</m:mo> </m:mrow> <m:mrow> <m:mn>2</m:mn> </m:mrow> <m:mrow> <m:mn>2</m:mn> </m:mrow> </m:msubsup> </m:mrow> <m:mo stretchy="false">)</m:mo> </m:mrow> …