Scholarlink

<p>In this paper, we investigate a new class of quasilinear Schrödinger equations involving differential operators, in particular the <i>p</i>-Laplacian, in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {R}^N\)</EquationSource> </InlineEquation> with sign-changing potentials. The associated nonlinearity is sublinear and defined only in a neighborhood of the origin. We introduce new, weaker, and more general assumptions than those considered in previous works. Furthermore, we provide illustrative examples to demonstrate the applicability of our main theoretical results.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Multiplicity of Small Solutions for Quasilinear Schrödinger Equations Involving Differential Operators and Applications

  • 期刊论文

  • 发表日期：

    2025年12月23日

查看全文
  • Safa Bridaa,
  • Abderrazek B. Hassine,
  • Taib Talbi

摘要

In this paper, we investigate a new class of quasilinear Schrödinger equations involving differential operators, in particular the p-Laplacian, in \(\mathbb {R}^N\) with sign-changing potentials. The associated nonlinearity is sublinear and defined only in a neighborhood of the origin. We introduce new, weaker, and more general assumptions than those considered in previous works. Furthermore, we provide illustrative examples to demonstrate the applicability of our main theoretical results.