Boundary blow-up solutions of elliptic equations involving regional fractional Laplacian
H.Chen, H. Hajaiej
TL;DR
This paper investigates the existence and optimality of boundary blow-up solutions for elliptic equations involving the regional fractional Laplacian, advancing understanding of these solutions in fractional elliptic PDEs.
Contribution
It provides new existence results and discusses the optimality of solutions for elliptic equations with regional fractional Laplacian, a less-explored area in fractional PDEs.
Findings
Existence of boundary blow-up solutions established.
Optimality conditions for solutions discussed.
Advances understanding of regional fractional Laplacian equations.
Abstract
In this paper, we study existence of boundary blow-up solutions for elliptic equations involving regional fractional Laplacian. We also discuss the optimality of our results.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Differential Equations and Numerical Methods