Abstract:

In this paper, we investigate the following elliptic problem involving the P-Laplacian
 (P) {

  -Div(| u|^p-2    u) =|u|^q-1u  in  K,
  u>0                                    in  K,
  u=0                                    on  ∂K,

where p>1, 0<q<p-1, K     Rⁿ with K ∈ Kⁿ , and prove that the energy integral of the problem (P) satisfies a Brunn-Minkowski type inequality.

CLC Number: 

• 35J20

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