Scholarlink

<p>We discuss the regularity of solutions to the <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(p_i(x)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>p</mi> <mi>i</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>-Laplacian problems with lower order terms and degenerate coercivity with the data <i>f</i> in <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(L^m(\Omega )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>L</mi> <mi>m</mi> </msup> <mrow> <mo stretchy="false">(</mo> <mi mathvariant="normal">Ω</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>. An interesting feature of this problem is the interplay between the two concepts of weak and entropy solutions under weaker hypotheses on the coefficients. The strategy involving anisotropic Sobolev space and weak Lebesgue space with variable exponents</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

Regularity of weak and entropy solution for a \(p_i(x)-\)elliptic problems with lower order terms

  • 期刊论文

  • 发表日期：

    2026年5月7日

查看全文
  • Nour Elhouda Allaoui

摘要

We discuss the regularity of solutions to the \(p_i(x)\) p i ( x ) -Laplacian problems with lower order terms and degenerate coercivity with the data f in \(L^m(\Omega )\) L m ( Ω ) . An interesting feature of this problem is the interplay between the two concepts of weak and entropy solutions under weaker hypotheses on the coefficients. The strategy involving anisotropic Sobolev space and weak Lebesgue space with variable exponents