Can I read A Variational Approach to Discontinuous Problems with Critical Sobolev Exponents on EtoBox?
A Variational Approach to Discontinuous Problems with Critical Sobolev Exponents by C.O. Alves; Ana Maria Bertone; J.V. Goncalves is a Mathematics article available to read on EtoBox.
What is A Variational Approach to Discontinuous Problems with Critical Sobolev Exponents about?
We employ variational techniques to study the existence and multiplicity of positive solutions of semilinear equations of the form -u = λh x H u -a u q + u 2 \* -1 in R N , where λ, a > 0 are parameters, h x is both nonnegative and integrable on R N , H is the Heaviside function, 2 \* is the critical Sobolev exponent, and 0 ≤ q < 2 \* -1. We obtain existence, multiplicity and regularity of solutions by distinguishing the cases 0 ≤ q ≤ 1 and 1 < q < 2 \* -1.
Who reads A Variational Approach to Discontinuous Problems with Critical Sobolev Exponents?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- C.O. Alves; Ana Maria Bertone; J.V. Goncalves
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-247X)
- Published
- 2002
- Language
- EN
- Field
- Mathematics (Physical Sciences)