On a Fractional p&q Laplacian Problem with Critical Growth

Authors

  • Vincenzo Ambrosio,Teresa Isernia,Gaetano Siciliano Author

Keywords:

Fractional Laplacians, variational methods, critical exponent.

Abstract

We deal with a class of nonlocal problems of the type { where s , , ∆s pu u ∆s qu λur−2u uq∗ s−2u in Ω in RN Ω, < p is a parameter. Roughly speaking, when r is “large” we prove the existence of a solution for large values of λ and when r is “small” we prove the existence of infinitely many solutions for small values of λ.

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Published

2019-01-05

How to Cite

On a Fractional p&q Laplacian Problem with Critical Growth. (2019). Minimax Theory and Its Applications, 4(1), 1–19. https://journalmta.com/index.php/jmta/article/view/51