Using a minimization argument on the Nehari manifold, we prove that the following sublinear fractional problem (Formula presented.) possesses a unique positive weak solution provided that (Formula presented.) and (Formula presented.). Moreover, this solution converges to zero in (Formula presented.) when (Formula presented.) tends to zero.
Positive solution for nonhomogeneous sublinear fractional equations in RN / Isernia, T.. - In: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. - ISSN 1747-6933. - 63:5(2018), pp. 689-714. [10.1080/17476933.2017.1332052]
Positive solution for nonhomogeneous sublinear fractional equations in RN
Isernia T.
2018-01-01
Abstract
Using a minimization argument on the Nehari manifold, we prove that the following sublinear fractional problem (Formula presented.) possesses a unique positive weak solution provided that (Formula presented.) and (Formula presented.). Moreover, this solution converges to zero in (Formula presented.) when (Formula presented.) tends to zero.File in questo prodotto:
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