Multiplicity of solutions for non-local elliptic equations driven by the fractional Laplacian. (English) Zbl 1317.35285
The authors study the existence and multiplicity of solutions for semilinear elliptic equations involving the fractional Laplacian on a bounded domain in \(\mathbb{R}^n\). They use methods of nonlinear analysis to provide examples of nonlinearities for which at least one, four, five, six, or infinitely many nontrivial solutions exist.
Reviewer: Florin Catrina (New York)
MSC:
| 35R11 | Fractional partial differential equations |
| 35J91 | Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian |
References:
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