Local behaviour and existence of solutions of the fractional (p,q)-Laplacian.

In this paper, we consider the regularity of weak solutions (in an appropriate space) to the elliptic partial differential equation \begin{equation*} (-\Delta_{p})^{s} u + (-\Delta_{q})^{s} u = f(x) \quad \text{in} \quad \mathbb{R}^{N}, \end{equation*} where $0

Keywords:

• Elliptic partial differential equation
• Mathematical analysis
• Topology
• Mathematics
• Bounded function
• Laplace operator
• Combinatorics
• Lambda

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