Variational methods and linearization tools towards the spectral analysis of the p-Laplacian, especially for the Fredholm alternative
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 $1<p<infty$, $p eq 2$, $...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2010-07-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/18/t1/abstr.html |