On quasilinear elliptic equations in ℝN. (1996)

• Record Type: Journal Article
• Authors: Alves, C. O.; Concalves, J. V.; Maia, L. A.
• Is Part Of: Abstract and applied analysis. Volume 1:Number 4(1996)
• Page Start: 407
• Page End: 415
• Publication Date: 1996
• Subjects: Quasilinear elliptic equation -- p-Laplacian -- variational method; Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/S108533759600022X
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : In this note we give a result for the operatorp -Laplacian complementing a theorem by Brézis and Kamin concerning a necessary and sufficient condition for the equation− Δ u = h ( x ) u q inℝ N, where0 < q < 1, to have a bounded positive solution. While Brézis and Kamin use the method of sub and super solutions, we employ variational arguments for the existence of solutions.