The Weak Maximum Principle And Existence Of Solution For A Class Of Degenerate Elliptic Equations

In this master's dissertation, we study the existence of weak solution and weak maximum principle for the degenerate elliptic model where nonnegative measurable function a(x) admits to have the degeneracy set∑which has Lebesgue measure zero and satisfies By the method of monotone operator, we prove the existence of weak solution in H01,a(Ω)∩Lq(Ω) when f∈Lp(Ω),1