The p-Laplacian equation with superlinear and supercritical growth, multiplicity of radial solutions
✍ Scribed by Gabriella Bognár; Pavel Drábek
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 182 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0362-546X
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## Abstract This paper is concerned with the __p__‐Laplacian 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
## Abstract We consider a class of elliptic inclusions under Dirichlet boundary conditions involving multifunctions of Clarke's generalized gradient. Under conditions given in terms of the first eigenvalue as well as the Fučik spectrum of the __p__ ‐Laplacian we prove the existence of a positive, a