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Can I read Remarks on eigenvalue problems involving the p(x)-Laplacian on EtoBox?
Remarks on eigenvalue problems involving the p(x)-Laplacian by Xianling Fan is a Mathematics article available to read on EtoBox.
What is Remarks on eigenvalue problems involving the p(x)-Laplacian about?
This paper deals with the eigenvalue problem involving the p(x)-Laplacian of the form is the Sobolev critical exponent. It is shown that for every t > 0, the problem has at least one sequence of solutions {(u n,t , λ n,t )} such that Ω 1 p(x) |∇u n,t | p(x) = t and λ n,t → ∞ as n → ∞. The principal eigenvalues for the problem in several important cases are discussed especially. The similarities and the differences in the eigenvalue problem between the variable exponent case and the constant exponent case are exposed. Some known results on the eigenvalue problem are extended.
Who reads Remarks on eigenvalue problems involving the p(x)-Laplacian?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Xianling Fan
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-247X)
- Published
- 2009
- Language
- EN
- Field
- Mathematics (Physical Sciences)