We investigate the evolution problem u#m("Au")Au"0, u( where H is a Hilbert space, A is a self-adjoint linear non-negative operator on H with domain D(A), and We prove that if u 3D(A), and m("Au ")O0, then there exists at least one global solution, which is unique if either m never vanishes, or m
✦ LIBER ✦
On quasilinear Beltrami-type equations with degeneration
✍ Scribed by E. A. Sevost’yanov
- Book ID
- 110150005
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2011
- Tongue
- English
- Weight
- 621 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0001-4346
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In connection with the generalized \(p\)-harmonic operator (1-2), we shall treat two topics in the present paper. Namely, the one is concerned with removable singularities of solutions for (1-3) and the other is the unique existence property of bounded solutions.