We consider the Robin boundary conditions on irregular domains where the usual Sobolev embeddings fail. We present a functional framework permitting superhomogeneous growth of the nonlinearity and prove the existence of positive, bounded, and smooth solutions of the p-Laplacian equation.
On the summability of the formal solutions for some PDEs with irregular singularity
β Scribed by Zhuangchu Luo; Hua Chen; Changgui Zhang
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 107 KB
- Volume
- 336
- Category
- Article
- ISSN
- 1631-073X
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