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Three positive solutions for Dirichlet problems involving critical Sobolev exponent and sign-changing weight by Tsung-fang Wu is a Mathematics article available to read on EtoBox.
What is Three positive solutions for Dirichlet problems involving critical Sobolev exponent and sign-changing weight about?
In this paper, we study the decomposition of the Nehari manifold via the combination of concave and convex nonlinearities. Furthermore, we use this result and the Lusternik-Schnirelman category to prove that a semilinear elliptic equation involving a sign-changing weight function has at least three positive solutions.
Who reads Three positive solutions for Dirichlet problems involving critical Sobolev exponent and sign-changing weight?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Tsung-fang Wu
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-0396)
- Published
- 2010
- Language
- EN
- Field
- Mathematics (Physical Sciences)