22 citations · 110 across the 59 of their papers we have counts for
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On the compactness threshold in the critical Kirchhoff equation
Erisa Hasani, Kanishka Perera
We study a class of critical Kirchhoff problems with a general nonlocal term. The main difficulty here is the absence of a closed-form formula for the compactness threshold. First…
On nonminimizing solutions of elliptic free boundary problems
Kanishka Perera
We present a variational framework for studying the existence and regularity of solutions to elliptic free boundary problems that do not necessarily minimize energy. As application…
On critical elliptic problems with singular Trudinger-Moser nonlinearities
Shiqiu Fu, Kanishka Perera
We establish some existence results for a class of critical elliptic problems with singular exponential nonlinearities. We do not assume any global sign conditions on the nonlinear…
On a class of elliptic free boundary problems with multiple solutions
Kanishka Perera
We prove that a certain class of elliptic free boundary problems, which includes the Prandtl-Batchelor problem from fluid dynamics as a special case, has two distinct nontrivial so…