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

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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