This paper deals with existence results of nonnegative solutions for a one parameter sublinear elliptic boundary-value problem driven by the classical regional fractional Laplacian operator. The existence of a weak solution, for any value of the parameter beyond the first resonance, has been proved by using a slight variation of the classical Mountain Pass result due to Ambrosetti and Rabinowitz.
On a sublinear nonlocal fractional problem
Giovanni Molica Bisci;Raffaella Servadei
2023
Abstract
This paper deals with existence results of nonnegative solutions for a one parameter sublinear elliptic boundary-value problem driven by the classical regional fractional Laplacian operator. The existence of a weak solution, for any value of the parameter beyond the first resonance, has been proved by using a slight variation of the classical Mountain Pass result due to Ambrosetti and Rabinowitz.File in questo prodotto:
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