Non-existence of nodal solution form-Laplace equation involving critical Sobolev exponents |
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| Authors: | Adimurthi S L Yadava |
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| Institution: | (1) TIFR Centre, Indian Institute of Science Campus, Post Box No. 1234, 560012 Bangalore, India |
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| Abstract: | In this paper we study the non-existence of nodal solutions for critical Sobolev exponent problem-div(|∇u|
m−2∇u)=|u|
p-1
u+|u|
q-1
u inB(R)u = 0 on ∂B(R) whereB(R) is a ball of radiusR in ℝn. |
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| Keywords: | Critical exponent eigenvalue m-Laplacian |
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