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<p>In this paper, we investigate the existence of infinitely many solutions for a class of <i>p</i>-Laplacian equations in <InlineEquation ID="IEq4"> <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> with sign-changing potentials, where the nonlinearity is sublinear and defined only locally near the origin. Compared with previous works, our assumptions are milder, more general, and less restrictive. Moreover, we provide an application through illustrative examples to demonstrate the practical relevance and applicability of the main theoretical results.</p>

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Variational approach to p-laplacian equations in \(\mathbb {R}^N\) under mild local nonlinearities: An application

  • 期刊论文

  • 发表日期：

    2025年11月19日

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  • Taib Talbi,
  • Abderrazek B. Hassine

摘要

In this paper, we investigate the existence of infinitely many solutions for a class of p-Laplacian equations in \(\mathbb {R}^N\) R N with sign-changing potentials, where the nonlinearity is sublinear and defined only locally near the origin. Compared with previous works, our assumptions are milder, more general, and less restrictive. Moreover, we provide an application through illustrative examples to demonstrate the practical relevance and applicability of the main theoretical results.