TitoloConcentration along geodesics for a nonlinear Steklov problem arising in corrosion modelling
Autore/iPagani,C.D.; Pierotti, D.; Pistoia, A.; Vaira, G.
LinkDownload full text
AbstractWe consider the problem of finding pairs (\lambda; u), with \lambda > 0 and u a harmonic function in a three dimensional torus-like domain D, satisfying the nonlinear boundary condition \partial_n u =  sinh u on \partial D. This type of boundary condition arises in corrosion modelling (Butler Volmer condition). We prove existence of solutions which concentrate along some geodesics of the boundary as the parameter  \lambda goes to zero.