Limits as π(π₯)ββ of π(π₯)-harmonic functions with non-homogeneous Neumann boundary conditions
Mayte PΓ©rezβLlanos, Julio Daniel Rossi Β· Contemporary mathematics - American Mathematical Society Β· 2011
In this paper we study the limit as p(x) β β of solutions to -β p(x) u = 0 in a domain β¦, with non-homogeneous Neumann boundary conditions, |βu| p(x) βu βΞ· = g(x).Our approach consists on considering sequences of variable exponents converging uniformly to +β and then determining the equation satisfied by a limit of the corresponding solutions.To Jean Pierre Gossez, with our best wishes in his 65th birthday