Irena Rachůnková,
Jan Tomeček
(2007)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
The paper deals with the singular nonlinear problem
where , . We prove the existence of a solution to this problem which is positive on under the assumption that the function is nonnegative and can have time singularities at , and space singularity at . The proof is based on the Schauder fixed point theorem and on the method of a priori estimates.