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Existence and multiplicity of solutions for nonhomogeneous Klein-Gordon-Maxwell equations

open access: yesElectronic Journal of Differential Equations, 2015
This article concerns the nonhomogeneous Klein-Gordon-Maxwell equation $$\displaylines{ -\Delta u+u-(2\omega +\phi)\phi u=|u|^{p-1}u +h(x), \quad\text{in }\mathbb{R}^3,\cr \Delta \phi=(\omega +\phi)u^2,\quad\text{in }\mathbb{R}^3, }$$ where ...
Liping Xu, Haibo Chen
doaj  

Existence and multiplicity of solutions to triharmonic problems

open access: yesElectronic Journal of Differential Equations
The authors consider the triharmonic equation $$ (-\Delta)^3u+c_1\Delta^2 u+c_2\Delta u=h(x)|u|^{p-2} u+g(x,u) $$ in $\Omega$, where $p\in(1,2)$, subject to Navier boundary conditions.
Qifan Wei, Xuemei Zhang
doaj  

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