New selfsimilar solutions of the porous medium equation and the theory of solutions of changing sign
β Scribed by Juan Luis Vasquez
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 829 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this article, we study the time periodic solutions to the following porous medium equation under the homogeneous Dirichlet boundary condition: The existence of nontrivial nonnegative solution is established provided that 0 ak 1 , where k 1 is the first eigenvalue of the operator -D under the homo
## Abstract This paper is concerned with the __p__βLaplacian equation with singular sources which is allowed to change sign in a ball. The singularity may occur at the zero points of solutions and on the boundary. Using the upper and lower solutions method, we establish the existence of positive ra