<p>The main crux of this manuscript is to study the existence of weak solutions for nonlinear elliptic Dirichlet boundary value problems with the fractional <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(p(z)\)</EquationSource> </InlineEquation>-Laplacian operator. Applying Galerkin method and Young measures with variable exponent fractional Sobolev spaces, the existence of weak solutions of the proposed problem is established. Our results improve and extend upon a variety of current studies that have been carried out within the same area of academic research.</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

On fractional \(p(z)\)-Laplacian problems with young measures

  • Hasna Moujani,
  • Abderrazak Kassidi,
  • Ali El Mfadel,
  • M’hamed Elomari

摘要

The main crux of this manuscript is to study the existence of weak solutions for nonlinear elliptic Dirichlet boundary value problems with the fractional \(p(z)\) -Laplacian operator. Applying Galerkin method and Young measures with variable exponent fractional Sobolev spaces, the existence of weak solutions of the proposed problem is established. Our results improve and extend upon a variety of current studies that have been carried out within the same area of academic research.