Abstract
In this paper, we establish some existence and uniqueness results for a nonhomogeneous equation whose nonlinear term can have a critical exponential growth at infinity. The case of a discontinuous nonlinearities is also analyzed. Our main tools are the degree theory for \( (S_+) \) operators and a fixed point theorem for Banach semilattice.
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To the memory of my dear friend Professor Mohamed Benrhouma.
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Aouaoui, S. Existence result for some elliptic quasilinear equation involving the N-Laplacian in \( \mathbb {R}^N \) with a large class of nonlinearities. Ricerche mat 67, 875–889 (2018). https://doi.org/10.1007/s11587-018-0356-1
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DOI: https://doi.org/10.1007/s11587-018-0356-1