Nonlinear Elliptic Partial Differential Equations

Nonlinear Elliptic Partial Differential Equations： elliptic equation , , , , method . elliptic equation method is . , , second order linear elliptic operator eigenvalue , linear elliptic equation system upper and solution method , , system method, Nehari method , p–Laplace operator eigenvalue p–Laplace equation () upper and solution method . is linear elliptic equation . , linear elliptic equation method. is equation method, linear method, ,,. Since eigenvalue is , , 1, Banach the existence.