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<p>In this paper, we establish the existence of bounded weak solutions for a class of <i>p</i>(<i>u</i>)-problems characterized by degenerate coercivity and Dirichlet-type boundary conditions. The main techniques employed include the regularization approach, combined with the variational method, and the theory of Sobolev spaces with variable exponents.</p>

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Existence and \(L^\infty -\)Estimates for Some \(p(u)-\)Problems with Degenerate Coercivity

  • 期刊论文

  • 发表日期：

    2025年1月5日

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  • Youssef Akdim,
  • Morad Ouboufettal

摘要

In this paper, we establish the existence of bounded weak solutions for a class of p(u)-problems characterized by degenerate coercivity and Dirichlet-type boundary conditions. The main techniques employed include the regularization approach, combined with the variational method, and the theory of Sobolev spaces with variable exponents.