## Abstract In this paper we study a quasilinear boundary value problem of Neumann type with discontinuous terms. In particular we consider a problem in which the __p__–Laplacian is involved. In order to prove the existence of solutions we replace this problem with a multivalued approximation of it
✦ LIBER ✦
A Neumann problem with logarithmic nonlinearity in a ball
✍ Scribed by Olivâine Santana de Queiroz
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 390 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
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## Abstract In the present paper, we consider the nonlinear Dirichlet problem ‐ Δ__u__(__x__) __u__^β^(__x__) = 0 equation image is the unit ball and q is a continuous radially symmetric function on __B__ which may be singular on ∂B. We state some mild conditions for the function __q__ so that th