5 citations · 14 across the 11 of their papers we have counts for
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Convergence at infinity for solutions of nonhomogeneous degenerate elliptic equations in exterior domains
Leonardo Prange Bonorino, Lucas Pinto Dutra, Filipe Jung dos Santos
In this work, first we prove that for any compact set and any continuous function defined on , there exists a bounded weak solution in $C(\…
Liouville's theorem and comparison results for solutions of degenerate elliptic equations in exterior domains
Leonardo Prange Bonorino, Andre Rodrigues Silva, Paulo Ricardo de Avila Zingano
A version of Liouville's theorem is proved for solutions of some degenerate elliptic equations defined in , where is a compact set, provided the struc…
Bounded -harmonic functions in domains of with asymptotic boundary with fractional dimension
Leonardo Prange Bonorino, Patrícia Kruse Klaser
The existence and nonexistence of -harmonic functions in unbounded domains of are investigated. We prove that if the Hausdorff measure of the asymptotic…
Schwarz Symmetrization and Comparison Results for Nonlinear Elliptic Equations and Eigenvalue Problems
Leonardo Prange Bonorino, José Fábio Bezerra Montenegro
We compare the distribution function and the maximum of solutions of nonlinear elliptic equations defined in general domains with solutions of similar problems defined in a ball us…