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<p>In this paper, we study the existence of nonnegative solutions for a class of multivalued (<i>p</i>,&#xa0;<i>N</i>)-Laplace problems having discontinuous nonlinearity with critical exponential growth in <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathbb {R}^N\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mi>N</mi> </msup> </math></EquationSource> </InlineEquation>. To demonstrate the existence results, we utilized variational methods for non-differentiable functions.</p>

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On (p, N)-Laplace multivalued equations with critical exponential nonlinearity in \(\mathbb {R}^N\)

  • 期刊论文

  • 发表日期：

    2026年1月20日

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  • Ankit,
  • Abhishek Sarkar

摘要

In this paper, we study the existence of nonnegative solutions for a class of multivalued (p, N)-Laplace problems having discontinuous nonlinearity with critical exponential growth in \(\mathbb {R}^N\) R N . To demonstrate the existence results, we utilized variational methods for non-differentiable functions.