| Abstract: |
| We present some new results dealing with regularity, existence, and multiplicity of weak solutions for elliptic boundary value problems driven by the fractional $p$-Laplacian, and involving several types of reactions both bounded and unbounded. Special emphasis will be placed on boundary H\older regularity, and the ways it affects comparison principles, existence of minimizers, a priori bounds, and multiplicity of solutions as an outcome. |
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