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<p>The purpose of this paper is to prove the global <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(L^{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mi>∞</mi> </msup> </math></EquationSource> </InlineEquation>-boundedness of solutions for a Dirichlet nonlinear anisotropic elliptic systems with non standard growth conditions. The functional requirements involves anisotropic Lebesgue–Sobolev spaces in the scalar case and their <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\mathbb {R}^m\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mi>m</mi> </msup> </math></EquationSource> </InlineEquation>-valued versions.</p>

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Global \(L^{\infty }\)-boundedness of solutions for nonlinear anisotropic elliptic systems

  • 期刊论文

  • 发表日期：

    2026年8月5日

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  • Mokhtar Naceri

摘要

The purpose of this paper is to prove the global \(L^{\infty }\) L ∞ -boundedness of solutions for a Dirichlet nonlinear anisotropic elliptic systems with non standard growth conditions. The functional requirements involves anisotropic Lebesgue–Sobolev spaces in the scalar case and their \(\mathbb {R}^m\) R m -valued versions.