Results 1 to 10 of about 4,387 (235)
A Degree Theory for Compact Perturbations of Monotone Type Operators and Application to Nonlinear Parabolic Problem [PDF]
Abstract and Applied Analysis, 2017 Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ be maximal monotone, S:X→2X⁎ be bounded and of type (S+), and C:D(C)→X⁎ be compact with D(T)⊆D(C) such that C lies in Γστ (i.e.,
Teffera M. Asfaw
doaj +5 more sources
A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions [PDF]
Journal of Fixed Point Theory and Applications, 2017 In this paper we introduce an integer-valued degree for second order fully nonlinear elliptic operators with nonlinear oblique boundary conditions. We also give some applications to the existence of solutions of certain nonlinear elliptic equations arising from a Yamabe problem with boundary and reflector problems.
Li, Yanyan, Liu, Jiakun, Nguyen, Luc
exaly +10 more sources
A New Topological Degree Theory for Perturbations of Demicontinuous Operators and Applications to Nonlinear Equations with Nonmonotone Nonlinearities [PDF]
Journal of Function Spaces, 2016 Let X be a real reflexive locally uniformly convex Banach space with locally uniformly convex dual space X⁎. Let T:X⊇DT→2X⁎ be maximal monotone of type Γdϕ (i.e., there exist d≥0 and a nondecreasing function ϕ:0,∞→0,∞ with ϕ(0)=0 such that 〈v⁎,x-y〉≥-dx ...
Teffera M. Asfaw
doaj +5 more sources
Degree Theory for Second Order Nonlinear Elliptic Operators and its Applications [PDF]
Communications in Partial Differential Equations, 1989 We introduce, along the lines of [4], an integer valued degree for second order fully nonlinear elliptic operators which is invariant under homotopy within elliptic operators. We also give some applications to the bifurcation problem for nonlinear elliptic equations.
Yan Yan Li
openaire +3 more sources
An application of coincidence degree theory to cyclic feedback type systems associated with nonlinear differential operators [PDF]
Topological Methods in Nonlinear Analysis, 2017 42 pages, 2 PNG ...
Feltrin, Guglielmo, Zanolin, Fabio
openaire +4 more sources
A Problem Concerning Yamabe-Type Operators of Negative Admissible Metrics [PDF]
Journal of Applied Mathematics, 2012 This paper is about a problem concerning nonlinear Yamabe-type operators of negative admissible metrics. We first give a result on σk Yamabe problem of negative admissible metrics by virtue of the degree theory in nonlinear functional analysis and the ...
Jin Liang, Huan Zhu
doaj +2 more sources
Partial Differential Equations in Applied Mathematics, 2021 Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗be maximal monotone, S:X→2X∗be bounded of type (S+)and C:X⊇D(C)→2X∗be compact with D(T)⊆D(C).
Teffera M. Asfaw
doaj +1 more source
Results in Applied Mathematics, 2021 In this paper, we investigate the existence of periodic solutions for a class of second order nonlinear random impulse differential equations. By extending the definitions of continuous function bound set, curvature bound set and Nagumo set in ...
Lizhi Wang +3 more
doaj +1 more source
Alexandria Engineering Journal, 2022 In the present paper, we analyze a coupled system of nonlinear three point boundary value problems (BVPs) consisting of a coupled system of higher order hybrid sequential differential equations formulated by fractional operators.
Shaista Gul +5 more
doaj +1 more source
Risk assessment of deep excavation construction based on combined weighting and nonlinear FAHP
Frontiers in Earth Science, 2023 Deep excavation construction safety has become a challenging and crucial aspect of modern infrastructure engineering, and its risk assessment is frequently carried out using the Fuzzy Analytic Hierarchy Process (FAHP).
Shihao Liu +8 more
doaj +1 more source