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A Sub-Supersolution Method for p-Laplacian Equation with Non-Local Term

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  • Mei Rong
  • Qing Miao
  • Ali Jaballah

Abstract

This paper is concerned with the existence of solutions for p-Laplace problems with non-local term. We prove the sub-supersolution theorem using the pseudomonotone operator theorem and Minty–Browder theorem with appropriate assumptions on M,gii=1,2. Then, using the sub-supersolution approach, we determine the existence of positive solutions to specific problems.

Suggested Citation

  • Mei Rong & Qing Miao & Ali Jaballah, 2022. "A Sub-Supersolution Method for p-Laplacian Equation with Non-Local Term," Journal of Mathematics, Hindawi, vol. 2022, pages 1-6, September.
  • Handle: RePEc:hin:jjmath:6862544
    DOI: 10.1155/2022/6862544
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