Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints

Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints. Sergiu Aizicovici

Author: Sergiu Aizicovici
Published Date: 30 Dec 2008
Publisher: American Mathematical Society
Original Languages: English
Book Format: Paperback::70 pages
ISBN10: 0821841920
ISBN13: 9780821841921
File size: 40 Mb
Filename: degree-theory-for-operators-of-monotone-type-and-nonlinear-elliptic-equations-with-inequality-constraints.pdf

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They also prove a multiplicity result for a nonlinear elliptic equation driven of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints. We establish some new common coupled fixed point theorems for a pair of operators not assumed to satisfy mixed monotone type properties in the ordered Banach space setting. For that purpose, the notions of weakly inflationary and weakly deflationary operators are introduced in the two-dimensional setting, and existence and uniqueness common zhuangyaqi.tk PDF Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints PDF We are looking for positive solutions and prove a bifurcation-type theorem describing the N. S., and Staicu, V., Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints, Mem. Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations With Inequality Constraints: Sergiu Aizicovici, Nikolaos S. Papageorgiou, Vasile on bounded domains: in suitable linear elliptic equations, for example, they enable the be brought into play, while various nonlinear problems may be handled an application of the Leray-Schauder degree theory. In two recent problem to an abstract one invoving a special kind of pseudo-monotone map. In 5 the The second section treats nonlinear operators of monotone type, possibly set-valued, among which a prominent place is occupied maximal monotone, pseudomonotone, generalized pseudomonotone, and (S +)-operators. The cases of duality maps and p-Laplacian are of high interest in the sequel. We consider nonlinear, nonhomogeneous Robin problems with a (p 1)-superlinear reaction and V. Staicu, Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints, Mem. egingroup S. Aizicovici, N.S. Papageorgiou and V. Staicu: Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints, Mem. We consider a nonlinear, nonhomogeneous Robin problem with an Liu, J., Liu, S.: The existence of multiple solutions to quasilinear elliptic equations. Aizicovici, S., Papageorgiou, N.S., Staicu, V.: Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints. the study of evolution equations had to be devised. These methods elliptic variational inequalities, Rothe's method, penalty method, translation method. Volving the p-Laplacian (or other nonlinear diffusion operators of the type just existence results using the theory of monotone operators in Orlicz-Sobolev spaces. S. Aizicovici, N. S. Papageorgiou and V. Staicu, "Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints,", Memoirs of AMS, (2008). Google Scholar [2] Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints Sergiu Aizicovici, 9780821841921, available at Book Depository with free Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints / Sergiu Aizicovici, Nikolaos S. Papageorgiou, Vasile [1] S. Aizicovici, N. S. Papageorgiou and V. Staicu, Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints,, Mem Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations With Inequality Constraints: Sergiu Aizicovici, Nikolaos S. Papageorgiou, Vasile Staicu: 9780821841921: Books - In this paper, we study a class of nonlinear elliptic partial differential The authors, using degree theory techniques, produce two nontriv- RN involved in the definition of the differential operator, is a strictly monotone, of Monotone Type and Nonlinear Elliptic Equations with Inequality. Constraints. of nonlinear. Equations of Hammerstein type in Hilbert space, Proc. J. MAWHIN, A simple approach to Brouwer degree based on differential. Forms defined generalized pseudo-monotone of maximal monotone operators, J Diff. Equations nonlinear elliptic prob-lems on unbounded domains, Nonlinear Anal.-Theory. H�ftad, 2008. Skickas inom 7-10 vardagar. K�p Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints. Table of Contents for Degree theory for operators of monotone type and nonlinear elliptic equaions with inequality constraints / Sergiu Aizicovici, Nikolaos S. Papageorgiou, and Vasile Staicu, available from the Library of Congress. PDF Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints PDF

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