Subspaces of Rn

Bài giảng "Toán cao cấp - Chương 3: Không gian vectơ" cung cấp cho người học các kiến thức: Subspaces of Rn, spanning sets, independence, bases of vector spaces, column space and row space of a matrix, dimensions. Mời các bạn cung tham khảo nội dung chi tiết.

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EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR A CLASS OF DEGENERATE NONLINEAR ELLIPTIC EQUATIONS ˘ MIHAI MIHAILESCU Received 11 January 2005; Revised 4 July 2005; Accepted 17 July 2005 The goal of this paper is to study the existence and the multiplicity of non-trivial weak solutions for some degenerate nonlinear elliptic equations on the whole space RN . The solutions will be obtained in a subspace of the Sobolev space W 1,p (RN ). The proofs rely essentially on the Mountain Pass theorem and on Ekeland’s Variational principle. Copyright © 2006 Mihai Mih˘ ilescu.

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