Large solutions for the Laplacian with a power nonlinearity given by a variable exponent
Large solutions for the Laplacian with a power nonlinearity given by a variable exponent
In this paper we consider positive boundary blow-up solutions to the problem \mathrm{\Delta }u = u^{q(x)} in a smooth bounded domain \Omega \subset \mathbb{R}^{n} . The exponent q(x) is allowed to be a variable positive Hölder continuous function. The issues of existence, asymptotic behavior near the boundary and uniqueness of …