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math.AP2022
Bifurcation from essential spectrum for an elliptic equation with general nonlinearity
Jianjun Zhang, Xuexiu Zhong, Huansong Zhou
In this paper, based on some prior estimates, we show that the essential spectrum is a bifurcation point for an superlinear elliptic equation with only local conditions, whic…
math.AP2022
A new type of nodal solutions to singularly perturbed elliptic equations with supercritical growth
Zhisu Liu, Juncheng Wei, Jianjun Zhang
In this paper, we aim to investigate the following class of singularly perturbed elliptic problem $$ \left\{ \begin{array}{ll} \displaystyle -\varepsilon^2\triangle {u}+|x|^ηu =|x|…