• Non-existence of nodal solution form-Laplace equation involving critical Sobolev exponents

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      https://www.ias.ac.in/article/fulltext/pmsc/102/01/0023-0027

    • Keywords

       

      Critical exponent; eigenvalue; m-Laplacian

    • Abstract

       

      In this paper we study the non-existence of nodal solutions for critical Sobolev exponent problem-div(|∇u|m−2u)=|u|p-1u+|u|q-1u inB(R)u = 0 on ∂B(R) whereB(R) is a ball of radiusR in ℝn.

    • Author Affiliations

       

      Adimurthi1 S L Yadava1

      1. TIFR Centre, Indian Institute of Science Campus, Post Box No. 1234, Bangalore - 560012, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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