On regions of existence and nonexistence of solutions for a system of p-q-Laplacians
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Date
2006
Journal Title
Journal ISSN
Volume Title
Publisher
IOS PRESS
Abstract
We give a new region of existence of solutions to the superhomogeneous Dirichlet problem
-Delta(p)u = nu(delta), nu > 0 in B,
-Delta(q)v = u(mu), u > 0 in B,
u = v = 0 on partial derivative B,
where B is the ball of radius R > 0 centered at the origin in R-N. Here delta, mu > 0 and Delta(m)u = div(\del u\m(-2)del u) is the m-Laplacian operator for m > 1.
-Delta(p)u = nu(delta), nu > 0 in B,
-Delta(q)v = u(mu), u > 0 in B,
u = v = 0 on partial derivative B,
where B is the ball of radius R > 0 centered at the origin in R-N. Here delta, mu > 0 and Delta(m)u = div(\del u\m(-2)del u) is the m-Laplacian operator for m > 1.
Description
Keywords
m-Laplacian, energy identities, POSITIVE SOLUTIONS, EQUATIONS