On quasilinear elliptic equations in ℝ N

C. O. Alves, J. V. Concalves and L. A. Maia

Abstract and Applied Analysis, 1996, vol. 1, 1-9

Abstract:

In this note we give a result for the operator p -Laplacian complementing a theorem by Brézis and Kamin concerning a necessary and sufficient condition for the equation − Δ u = h ( x ) u q in ℝ N , where 0 < 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.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:462936

DOI: 10.1155/S108533759600022X

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