Fractional Laplacian Problems in with Critical Growth
Vincenzo Ambrosio
Università Politecnica delle Marche, Ancona, Italy
![Fractional $p\&q$ Laplacian Problems in $\mathbb{R}^{N}$ with Critical Growth cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-zaa-volume-39-issue-3.png&w=3840&q=90)
Abstract
We deal with the following nonlinear problem involving fractional Laplacians:
where , , , is a parameter, is a nontrivial bounded perturbation and is a superlinear continuous function with subcritical growth. Using suitable variational arguments and concentration-compactness lemma, we prove the existence of a nontrivial non-negative solution for sufficiently large.
Cite this article
Vincenzo Ambrosio, Fractional Laplacian Problems in with Critical Growth. Z. Anal. Anwend. 39 (2020), no. 3, pp. 289–314
DOI 10.4171/ZAA/1661