<p>We study an elliptic problem driven by a product of a singular nonlinearity and an exponential nonlinearity. We will prove the existence of arbitrarily many pairs of solutions to the problem by varying the value of the associated parameter <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12220_2025_2093_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\lambda \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>λ</mi> </math></EquationSource> </InlineEquation>.</p>

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An Abstract Critical Point Theorem to Study a Class of Elliptic Problems

  • Debajyoti Choudhuri,
  • Andrey Shishkov

摘要

We study an elliptic problem driven by a product of a singular nonlinearity and an exponential nonlinearity. We will prove the existence of arbitrarily many pairs of solutions to the problem by varying the value of the associated parameter \(\lambda \) λ .