A discontinuous problem involving the p-Laplacian operator and critical exponent in ℝN
Date
2003-04-16
Authors
Alves, Claudianor
Bertone, Ana Maria
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
Using convex analysis, we establish the existence of at least two nonnegative solutions for the quasilinear problem
-Δpu = H(u - α)up*-1 + λh(x) in ℝN
where Δpu is the p-Laplacian operator, H is the Heaviside function, p* is the Sobolev critical exponent, and h is a positive function.
Description
Keywords
Variational methods, Discontinuous nonlinearities, Critical exponents
Citation
Alves, C., & Bertone, A. M. (2003). A discontinuous problem involving the p-Laplacian operator and critical exponent in ℝN. <i>Electronic Journal of Differential Equations, 2003</i>(42), pp. 1-10.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.