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arXiv · 2502.20949

Monotonicity results in half spaces for quasilinear elliptic equations involving a singular term

Luigi Montoro·Luigi Muglia·Berardino Sciunzi
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Abstract

We consider positive solutions to $\displaystyle -\Delta_p u=\frac{1}{u^\gamma}+f(u)$ under zero Dirichlet condition in the half space. Exploiting a prio-ri estimates and the moving plane technique, we prove that any solution is monotone increasing in the direction orthogonal to the boundary.

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Luigi Montoro, Luigi Muglia, Berardino Sciunzi. 2025-02-28. Monotonicity results in half spaces for quasilinear elliptic equations involving a singular term. https://arxiv.org/abs/2502.20949

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