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Existence, multiplicity and nonexistence results for Kirchhoff type equations

Existence, multiplicity and nonexistence results for Kirchhoff type equations

Abstract In this paper, we study following Kirchhoff type equation: <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="block"> <m:mtable rowspacing="4pt" columnspacing="1em"> <m:mtr> <m:mtd> <m:mfenced open="{" close=""> <m:mtable columnalign="left left left" rowspacing="4pt" columnspacing="1em"> <m:mtr> <m:mtd> <m:mo>−</m:mo> <m:mfenced open="(" close=")"> <m:mrow> <m:mi>a</m:mi> <m:mo>+</m:mo> <m:mi>b</m:mi> <m:msub> <m:mo>∫</m:mo> <m:mrow class="MJX-TeXAtom-ORD"> <m:mrow class="MJX-TeXAtom-ORD"> <m:mi class="MJX-tex-mathit" mathvariant="italic">Ω</m:mi> </m:mrow> </m:mrow> </m:msub> <m:mrow …