On the existence of infinitely many solutions for nonlocal systems with critical exponents. (English) Zbl 1470.35397

Khiddi, M.; Echarghaoui, R.

Abstr. Appl. Anal. 2016, Article ID 7197542, 10 p. (2016).

Summary: We study a class of semilinear nonlocal elliptic systems posed on settings without compact Sobolev embedding. By employing critical point theory and concentration estimates, we prove the existence of infinitely many solutions for values of the dimension \(N\), where \(N > 6 s\), provided \(0 < s < 1 \).

MSC:

35R11	Fractional partial differential equations
35B38	Critical points of functionals in context of PDEs (e.g., energy functionals)

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