Existence and nonexistence of solutions for singular quadratic quasilinear equations

Description:  I want to show a result of existence and nonexistence for equations whose model is -\Delta u + |Du|^2/u^{\gamma} = f(x) , in \Omega (P) u\in H^1_0 (\Omega) where f(x) is a smooth positive function, $\gamma>0$. We prove the existence of an optimal \gamma for the existence of a solution for (P). Area(s): Date:  2008-12-10 Start Time:   14:30 Speaker:  Tommaso Leonori (CMUC) Place:  Room 5.4 Research Groups: -Analysis See more:   <Main>