MULTIPLE SOLUTIONS FOR THE p-LAPLACE EQUATION WITH NONLINEAR BOUNDARY CONDITIONS

作者：Fernandez Bonder Julian

来源：Electronic Journal of Differential Equations, 2006, 37.

• p-Laplace equations
• nonlinear boundary conditions
• variational methods

In this note, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation
-Delta(p)u + vertical bar u vertical bar(p-2)u = f(x, u)
in a smooth bounded domain Omega of R-N with nonlinear boundary conditions vertical bar del u vertical bar(p-2) partial derivative u/partial derivative v = g(x, u) on partial derivative Omega. The proof is based on variational arguments.

• 出版日期2006