Doubly nonlinear parabolic equations with Robin boundary conditions
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In this article, we consider the nonlinear problem where is the doubly nonlinear operator. Here, is a bounded domain with smooth boundary, and . We establish some sufficient conditions on the functions , and the exponents and , so that the above problem has no positive solutions. Furthermore, various concrete potentials are taken into account to demonstrate applications of our main result.
- Istanbul Commerce University Turkey
Quasilinear parabolic equations, doubly nonlinear parabolic equations, positive solutions, Initial-boundary value problems for second-order parabolic equations, Robin boundary condition, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
Quasilinear parabolic equations, doubly nonlinear parabolic equations, positive solutions, Initial-boundary value problems for second-order parabolic equations, Robin boundary condition, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
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