Behaviour of $p$--Laplacian problems with Neumann boundary conditions when $p$ goes to 1
✍ Scribed by Mercaldo, Anna; Rossi, Julio D.; León, Sergio Segura de; Trombetti, Cristina
- Book ID
- 125836626
- Publisher
- American Institute of Mathematical Sciences
- Year
- 2012
- Tongue
- English
- Weight
- 408 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1534-0392
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📜 SIMILAR VOLUMES
We term the conditions (2) and (3), respectively, Neumann-type and Dirichlet-type boundary conditions, since they reduce to the standard Neumann and Dirichlet boundary conditions when α ± = 0. Given a suitable pair of boundary conditions, a number λ is an eigenvalue of the corresponding boundary val
Using perturbation results on the sums of ranges of nonlinear accretive mappings of Calvert and Gupta [B.D. Calvert, C.P. Gupta, Nonlinear elliptic boundary value problems in L p -spaces and sums of ranges of accretive operators, Nonlinear Anal. 2 (1978) 1-26], we present some abstract existence res
In this paper, we discuss the limit behaviour of solutions to boundary value problem with equivalued surface for p-Laplacian equations when the equivalued surface boundary shrinks to a point in certain way.
## Abstract In this paper (which is a continuation of Part‐I), we discuss the limit behaviour of solutions to boundary value problem with equivalued surface for __p__‐Laplacian equations in the case of 1<__p__⩽2−1/__N__ when the equivalued surface boundary shrinks to a point in certain way. Copyrig