论文标题

跳跃非线性的非本地椭圆问题的多重结果

Multiplicity results for non-local elliptic problems with jumping nonlinearity

论文作者

Mukherjee, Debangana

论文摘要

本文研究了分数$ p $ -laplacian边界价值问题问题,即以零或无穷大的跳跃非线性跳跃,并通过构建相应能量功能的合适的伪梯度矢量场来获得多个溶液和符号改变解决方案。

The present paper studies the fractional $p$-Laplacian boundary value problems with jumping nonlinearities at zero or infinity and obtain the existence of multiple solutions and sign-changing solutions by constructing the suitable pseudo-gradient vector field of the corresponding energy functional.

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