Existence Of Solutions For Noncoercivity Quasilinear Elliptic Equations With Hardy Potential

In this thesis,we study the existence and regularity of solutions to non-coercivity quasilinear elliptic problems by using truncation and approximation points.The whole article is mainly divided into two parts.In the second part,we consider the existence of W0,1,1(Ω)solutions to following kind of problems where Ω is an open bounded subset of RN(N≥3),f is a function which belongs to a suitable integrable space.In the second part,we study the existence and regularity of solutions to non-coercivity quasilinear elliptic problems with lower order terms and Hardy potential where Ω is an open bounded subset of RN(N≥3),1<p<N,0<θ<1,0≤s<rm-1-(p-1)0,A is a positive number,f∈Lm(Ω)is a nonnegative function.