Scholarlink

<p>The goal of this paper is to study the asymptotic behaviour near the origin of positive radial solutions of the equation <Equation ID="Equ1"> <EquationNumber>1</EquationNumber> <EquationSource Format="TEX">\(\begin{aligned} {\mathcal {M}}^\pm ( D^2 u) + \mu \frac{u}{r^2} = u^p\, \text{ in } \ B_1(0)\setminus {\{0\}} \end{aligned}\)</EquationSource> </Equation>when <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(p&gt;1\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mu \)</EquationSource> </InlineEquation> is equal to the principal eigenvalue associated with the singular potential <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\frac{u}{r^{2}}\)</EquationSource> </InlineEquation>.</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

Fully Nonlinear Equations in Punctured Balls: The Resonant Case

  • 期刊论文

  • 发表日期：

    2026年1月15日

查看全文
  • Isabeau Birindelli,
  • Françoise Demengel,
  • Fabiana Leoni

摘要

The goal of this paper is to study the asymptotic behaviour near the origin of positive radial solutions of the equation 1 \(\begin{aligned} {\mathcal {M}}^\pm ( D^2 u) + \mu \frac{u}{r^2} = u^p\, \text{ in } \ B_1(0)\setminus {\{0\}} \end{aligned}\) when \(p>1\) and \(\mu \) is equal to the principal eigenvalue associated with the singular potential \(\frac{u}{r^{2}}\) .