Nonlinear oblique boundary value problems for hessian equations in two dimensions
We prove an existence result for a class of parabolic problems whose principal part is the -Laplace operator or a more general Leray-Lions type operator, and featuring an additional first order term which grows like . Here the spatial domain can have infinite measure, and the data may be not regular enough to ensure the boundedness of solutions. As a consequence, solutions are obtained in a class of functions with exponential integrability. An existence result of bounded solutions is also given...