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math.AP2024
On the existence of positive solution for a Neumann problem with double critical exponents in half-space
Yinbin Deng, Longge Shi
In this paper, we consider the existence and nonexistence of positive solution for a Neumann problem with double critical exponents and fast increasing weighted in half-space. This…
math.AP2024
Existence of solutions for critical Neumann problem with superlinear perturbation in the half-space
Yinbin Deng, Longge Shi, Xinyue Zhang
In this paper, we consider the existence and multiplicity of solutions for the critical Neumann problem \begin{equation}\label{1.1ab} \left\{ \begin{aligned} -Δ{u}-\frac{1}{2}(x \c…