%0 Journal Article %T Variational methods and linearization tools towards the spectral analysis of the p-Laplacian, especially for the Fredholm alternative %A Peter Takac %J Electronic Journal of Differential Equations %D 2010 %I Texas State University %X We look for weak solutions $uin W_0^{1,p}(Omega)$ of the degenerate quasilinear Dirichlet boundary value problem $$ eqno{(P)} - Delta_p u = lambda |u|^{p-2} u + f(x) quad hbox{in } Omega ,;quad u = 0 quad hbox{on } partialOmega ,. $$ It is assumed that $1 %K Nonlinear eigenvalue problem %K Fredholm alternative %K degenerate or singular quasilinear Dirichlet problem %K p-Laplacian %K global minimizer %K minimax principle %U http://ejde.math.txstate.edu/conf-proc/18/t1/abstr.html