Suggest the variational functional whose minimum corresponds to the non-linear laplace equation
-delta p - p + p[sup:3nxonhe9]3[/sup:3nxonhe9] = 0
would I just take the antiderivative of
delta p = p[sup:3nxonhe9]3[/sup:3nxonhe9] - p to get
1/4p[sup:3nxonhe9]4[/sup:3nxonhe9]-1/2p[sup:3nxonhe9]2[/sup:3nxonhe9] +c
This doesn't seem right and I've never worked with functionals before so I'm a little lost
Please help
Felicity
-delta p - p + p[sup:3nxonhe9]3[/sup:3nxonhe9] = 0
would I just take the antiderivative of
delta p = p[sup:3nxonhe9]3[/sup:3nxonhe9] - p to get
1/4p[sup:3nxonhe9]4[/sup:3nxonhe9]-1/2p[sup:3nxonhe9]2[/sup:3nxonhe9] +c
This doesn't seem right and I've never worked with functionals before so I'm a little lost
Please help
Felicity