5 papers
The Lazer-McKenna conjecture for an anisotropic planar exponential nonlinearity with a singular source
Yibin Zhang
Given a bounded smooth domain in , we study the following anisotropic elliptic problem $$ \begin{cases} -\nabla\big(a(x)\nabla \upsilon\big)= a(x)\big[e^{\upsilon…
Boundary concentration phenomena for an anisotropic Neumann problem in
Yibin Zhang
Given a smooth bounded domain in , we study the following anisotropic Neumann problem $$ \begin{cases} -\nabla(a(x)\nabla u)+a(x)u=λa(x) u^{p-1}e^{u^p},\,\,\,\, u…
Concentrating solutions for an anisotropic planar elliptic Neumann problem with Hardy-Hénon weight and large exponent
Yibin Zhang
Let be a bounded domain in with smooth boundary, we study the following anisotropic elliptic Neumann problem with Hardy-Hénon weight $$ \begin{cases} -\nabla(a(x…
Bubbling solutions for a planar exponential nonlinear elliptic equation with a singular source
Jingyi Dong, Jiamei Hu, Yibin Zhang
Let be a bounded domain in with smooth boundary, we study the following elliptic Dirichlet problem $$ \begin{cases} -Δ\upsilon= e^{\upsilon}-sϕ_1-4παδ_p-h(x)\,\,…
Boundary separated and clustered layer positive solutions for an elliptic Neumann problem with large exponent
Yibin Zhang
Given a smooth bounded domain in with , we study the existence and the profile of positive solutions for the following elliptic Nenumann proble…