Estimates for Eigenfunctions and Eigenvalues of Nonlinear Elliptic Problems
Estimates for Eigenfunctions and Eigenvalues of Nonlinear Elliptic Problems
We consider solutions to the nonlinear eigenvalue problem \[ (*)\quad A(x,\vec u)\vec u + \lambda f(x,\vec u) = 0\:\quad {\text {in}} \Omega ,\quad \vec u = 0\:\quad {\text {on}} \partial \Omega ,\quad \vec u{\text { = }}0,\quad {\text {on}}\partial \Omega ,\quad \vec {u} = 0,\] where (*) is a quasilinear …