On the spectral counting function for the Dirichlet laplacian
β Scribed by M. van den Berg
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 369 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0022-1236
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## Abstract For an arbitrary differential operator __P__ of order __p__ on an open set __X__ β R^n^, the Laplacian is defined by Ξ = __P__\*__P__. It is an elliptic differential operator of order __2p__ provided the symbol mapping of __P__ is injective. Let __O__ be a relatively compact domain in _
In this paper, we establish some results on the existence of at least three weak solutions for Dirichlet problems involving the p-Laplacian by a variational approach.
In this paper we study the nonlinear elliptic problem driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality), that is where β¦ β R N is a bounded domain and p : β¦ β R is a continuous function satisfying some given assumptions. The approach used in this pap