标题： 几乎极小值在单相问题中具有广义Orlicz增长的Lipschitz正则性 显示英文标题

标题： Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth

摘要： 标量几乎极小值的Alt-Caffarelli型泛函$$ \mathcal{F}({v}; \Omega) = \int_\Omega \varphi(x,\left|\nabla v(x) \right|)+ \lambda \chi_{\{{v} >0\}} (x) \, \mathrm{d}x\,, $$在增长函数$\varphi$为广义Orlicz函数情况下的最优局部Lipschitz正则性得到了确立。 显示英文摘要

摘要： The optimal local Lipschitz regularity for scalar almost-minimizers of Alt-Caffarelli-type functionals $$ \mathcal{F}({v}; \Omega) = \int_\Omega \varphi(x,\left|\nabla v(x) \right|)+ \lambda \chi_{\{{v} >0\}} (x) \, \mathrm{d}x\,, $$ with growth function $\varphi$ a generalized Orlicz function, is established.