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<p>This work investigates Kirchhoff-type problems involving double-phase variable exponents with matrices diffusion. We establish the existence of at least one nonnegative weak solution using sub-supersolution technique. Moreover, under additional assumptions, we demonstrate the existence of a second nonnegative weak solution through mountain pass theory.</p>

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Existence results for a double phase Kirchhoff-type problems with nonlinear matrices diffusion

  • 期刊论文

  • 发表日期：

    2026年6月18日

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  • Abdelilah Azghay,
  • Mohammed Massar,
  • Abderrahim El Mhouti

摘要

This work investigates Kirchhoff-type problems involving double-phase variable exponents with matrices diffusion. We establish the existence of at least one nonnegative weak solution using sub-supersolution technique. Moreover, under additional assumptions, we demonstrate the existence of a second nonnegative weak solution through mountain pass theory.