Results 11 to 20 of about 143,207 (215)
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.
openaire +3 more sources
Advances in Difference Equations, 2017 In this paper, by using the coincidence degree theory due to Mawhin and constructing suitable operators, we study the solvability for functional boundary value problems of second-order nonlinear differential equations system at resonance with dim Ker L =
Weihua Jiang, Bingzhi Sun
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Positive Solutions for Systems of Quasilinear Equations with Non-homogeneous Operators and Weights
Advanced Nonlinear Studies, 2020 In this paper we deal with positive radially symmetric solutions for a boundary value problem containing a strongly nonlinear operator. The proof of existence of positive solutions that we give uses the blow-up method as a main ingredient for the search ...
García-Huidobro Marta +2 more
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A Problem Concerning Yamabe-Type Operators of Negative Admissible Metrics
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
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Solvability of resonance problems for nonlinear q-difference equations on infinite intervals [PDF]
Journal of Hebei University of Science and TechnologyIn order to develop the basic theory of resonance boundary value problems for nonlinear quantum difference equations, a class of nonlinear quantum difference equation boundary value problems at resonance on infinite intervals was studied.
Changlong YU +3 more
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Network Synthesis of Linear Dynamical Quantum Stochastic Systems [PDF]
, 2009 The purpose of this paper is to develop a synthesis theory for linear dynamical quantum stochastic systems that are encountered in linear quantum optics and in phenomenological models of linear quantum circuits.
Doherty, A. C. +2 more
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Topology and Homoclinic Trajectories of Discrete Dynamical Systems [PDF]
, 2012 We show that nontrivial homoclinic trajectories of a family of discrete, nonautonomous, asymptotically hyperbolic systems parametrized by a circle bifurcate from a stationary solution if the asymptotic stable bundles Es(+{\infty}) and Es(-{\infty}) of ...
A. Abbondandolo +24 more
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Parabolic theory of the discrete p-Laplace operator [PDF]
, 2013 We study the discrete version of the $p$-Laplacian. Based on its variational properties we discuss some features of the associated parabolic problem.
Mugnolo, Delio
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Invariants of hyperbolic partial differential operators [PDF]
, 2016 We present a construction of a large class of Laplace invariants for linear hyperbolic partial differential operators of fairly general form and arbitrary ...
Athorne, Christopher, Yilmaz, Halis
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Parity and generalized multiplicity
, 1991 Assuming that X and Y are Banach spaces and that T is a path of linear Fredholm operators with invertible endpoints, in [F-Pl] we defined a homotopy invariant "the parity of T .
Fitzpatrickp., Pejsachowicz, Jacobo
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