In this work, we will prove the existence of bounded solutions m W0＇ （f） N L （fl） for nonlinear elliptic equations - div（a（x,u, Vu）） ＋g（x,u,Vu） ＋ H（x, Vu） = f, where a, g and H are Carath6odory function...In this work, we will prove the existence of bounded solutions m W0＇ （f） N L （fl） for nonlinear elliptic equations - div（a（x,u, Vu）） ＋g（x,u,Vu） ＋ H（x, Vu） = f, where a, g and H are Carath6odory functions which satisfy some conditions, and the rizht hand side f belongs to W-l＇q （Ω）.展开更多
In this paper, We study a general class of nonlinear degenerated elliptic problems associated with the differential inclusion β（u）-div（α（x, Du）＋F（u）） ∈ f in fΩ, where f ∈ L1 （Ω）. A vector field a（.,....In this paper, We study a general class of nonlinear degenerated elliptic problems associated with the differential inclusion β（u）-div（α（x, Du）＋F（u）） ∈ f in fΩ, where f ∈ L1 （Ω）. A vector field a（.,.） is a Carath6odory function. Using truncation techniques and the generalized monotonicity method in the functional spaces we prove the existence of renormalized solutions for general L1-data. Under an additional strict monotonicity assumption uniqueness of the renormalized solution is established.展开更多
This paper is concerned with the existence of solution for a general class of strongly nonlinear elliptic problems associated with the differential inclusionβ(u)+A(u)+g(x,u,Du)■f,where A is a Leray-Lions operator fr...This paper is concerned with the existence of solution for a general class of strongly nonlinear elliptic problems associated with the differential inclusionβ(u)+A(u)+g(x,u,Du)■f,where A is a Leray-Lions operator from W^(1,p)_(0)(Ω)into its dual,βmaximal monotone mapping such that 0∈β(0),while g(x,s,ξ)is a nonlinear term which has a growth condition with respect toξand no growth with respect to s but it satisfies a signcondition on s.The right hand side f is assumed to belong to L^(1)(Ω).展开更多
文摘In this work, we will prove the existence of bounded solutions m W0＇ （f） N L （fl） for nonlinear elliptic equations - div（a（x,u, Vu）） ＋g（x,u,Vu） ＋ H（x, Vu） = f, where a, g and H are Carath6odory functions which satisfy some conditions, and the rizht hand side f belongs to W-l＇q （Ω）.
文摘In this paper, We study a general class of nonlinear degenerated elliptic problems associated with the differential inclusion β（u）-div（α（x, Du）＋F（u）） ∈ f in fΩ, where f ∈ L1 （Ω）. A vector field a（.,.） is a Carath6odory function. Using truncation techniques and the generalized monotonicity method in the functional spaces we prove the existence of renormalized solutions for general L1-data. Under an additional strict monotonicity assumption uniqueness of the renormalized solution is established.
文摘This paper is concerned with the existence of solution for a general class of strongly nonlinear elliptic problems associated with the differential inclusionβ(u)+A(u)+g(x,u,Du)■f,where A is a Leray-Lions operator from W^(1,p)_(0)(Ω)into its dual,βmaximal monotone mapping such that 0∈β(0),while g(x,s,ξ)is a nonlinear term which has a growth condition with respect toξand no growth with respect to s but it satisfies a signcondition on s.The right hand side f is assumed to belong to L^(1)(Ω).
