MULTIPLICITY OF SOLUTIONS FOR A DIRICHLET PROBLEM WITH A SINGULAR AND A SUPERCRITICAL NONLINEARITIES

作者：Arcoya David^*; Boccardo Lucio

来源：Differential and Integral Equations, 2013, 26(1-2): 119-128.

For a bounded open set Omega subset of R-N and depending on lambda > 0 we study the multiplicity of solutions of
{u > 0 in Omega,
-div(M(x)del u) = lambda/u(gamma) + u(p) in Omega,
u = 0 on partial derivative Omega
where M(x) is a symmetric, bounded, and elliptic matrix and 0 < gamma < 1 < p < N+2/N-2.

• 出版日期2013-2