一类含临界对流项的拟线性椭圆方程Neumann问题正解的先验估计与可解性 A priori estimates and existence of positive solutions to quasilinear elliptic equations with critical convection terms and nonlinear Neumann boundary conditions

Keywords: m-Laplacian方程,非线性Neumann边界条件,临界对流项,先验估计,正解

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Abstract:

讨论了带有非线性Neumann边界条件的m-Laplacian方程正解的先验估计与存在性,其中非线性项含有临界对流项.利用解的爆破方法和相应的Liouville定理得到解的先验估计,运用不动点定理得到解的存在性

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