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1.
In this paper, we consider nonlinear degenerate quasilinear parabolic initial boundary value problems of second order. Using results from the theory of pseudomonotone operators, we show that there exists at least one weak solution in a suitable weighted Sobolev space. Received February 4, 1997, Revised October 20, 1997, Accepted March 17, 1998  相似文献
2.
拟线性椭圆型H-半变分不等式   总被引:3,自引:1,他引:2  
本文研究一类拟线性椭圆型H_半变分不等式,即研究具有非凸、非光滑泛函的椭圆型不等式·这类问题的研究来自力学·利用Clarke广义梯度和伪单调算子理论,我们证明了拟线性椭圆型H_半变分不等式解的存在性·  相似文献
3.
Comparison of Existence Results for Efficient Points   总被引:3,自引:0,他引:3  
Existence results of maximal points with respect to general binary relations were stated by Hazen and Morin (Ref. 1) and by Gajek and Zagrodny (Ref. 2). In this paper, we point out that the natural framework for this problem is that of transitive and reflexive relations (preorders). The aim of this paper is to discuss existence results for maximal points with respect to general transitive relations in such a way that, when considering them for preorders defined by convex cones, we are able to recover most known existence results for efficient points; the quasi-totality of them, with their (short) proofs, is presented, too.  相似文献
4.
In the paper, existence results for degenerate parabolic boundary value problems of higher order are proved. The weak solution is sought in a suitable weighted Sobolev space by using the generalized degree theory. Supported by the funds of the State Educational Commission of China for returned scholars from abroad.  相似文献
5.
一类抛物型H-半变分不等式   总被引:2,自引:0,他引:2  
研究一类拟线性抛物型H-半变分不等式,即研究具有非凸、非光滑泛函的抛物型变分不等式。这类问题的研究来自力学。利用Clarke广义梯度和伪单调算子理论,证明了一类拟线性抛物型H-半变分不等式解的存在性。  相似文献
6.
This work deals with the global existence of weak solutions for a Kazhikhov–Smagulov type system with a density which may or not vanish. Our model is formally equivalent to the physical compressible model with Fick’s law, in contrast to those in previous works. This model may be used for addressing environmental problems such as propagation of pollutants and avalanche modelling. We also explain why this system may be seen as a physical regularization of the standard nonhomogeneous incompressible Navier–Stokes equations and we give an existence result with an initial density less regular but away from the vacuum.  相似文献
7.
In this paper, we consider vector variational inequalities with set-valued mappings over countable product sets in a real Banach space setting. By employing concepts of relative pseudomonotonicity, we establish several existence results for generalized vector variational inequalities and for systems of generalized vector variational inequalities. These results strengthen previous existence results which were based on the usual monotonicity type assumptions  相似文献
8.
IIntroductionConsider the initial value problemDtL干Au+1ugi.U<t<I,oh山)”w,where A is of of。s(S+)and F is a multivalued msp.If F is singl。vlued Hiranoti goteistence results for Fbeing compact.Ahmed and Xiang[21 extended Hirano’s results forFsatls州ngthat<Fu。,u。一U>-+ 0 lfunconverges wewyto h;While Liul3]e枕ended theabOV6 th6lltlollsd T6SllltS to COf正erpolldlllg ClAsS Of yatlatlollal ill6qttallt16s ld lfittodllC6d 8 hO16gmerdC0nd让ND th幼劝m比a bro劝0 d%sdpenurb砒…  相似文献
9.
We prove the existence of extremal solutions for a first order functional differential equation subject to nonlinear boundary conditions of functional type. Moreover, the functions that define our problem are allowed to be discontinuous. The proof of our main result is based on a generalized iterative technique.

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