Solving Composite Fixed Point Problems with Block Updates [PDF]
Advances in Nonlinear Analysis, 2021 Various strategies are available to construct iteratively a common fixed point of nonexpansive operators by activating only a block of operators at each iteration.
Combettes Patrick L., Glaudin Lilian E.
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Nonlinear Equations Involving Nonpositive Definite Linear Operators via Variational Methods
Journal of Integral Equations and Applications, 2007 The paper is concerned with the application of variational methods, namely the variational method due to \textit{B. Ricceri} [J. Comput. Appl. Math. 113, No. 1--2, 401--410 (2000; Zbl 0946.49001)] in showing the existence of solutions for nonlinear equations of the type \(u=K\mathbf{f}(u)\), where \(K:L^{q_{0}}( \Omega) \rightarrow L^{p_{0}}( \Omega) \)
ANELLO, Giovanni, CORDARO G.
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Thermal Science, 2018 In this paper, we apply a new technique, namely local fractional variational iteration transform method on homogeneous/non-homogeneous non-linear gas dynamic and coupled KdV equations to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative and integral operators.
Dumitru Baleanu +2 more
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Combined effects and degenerate phenomena in nonlinear stationary problems [PDF]
Le Matematiche, 2010 In this survey paper we are concerned with several nonlinear stationary problems involving nonhomogeneous differential operators. We report on some recent qualitative results related with various nonlinear problems in Orlicz-Sobolev spaces.
Vicenţiu D. Rǎdulescu
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BIFURCATION RESULTS FOR NONLINEAR EIGENVALUE PROBLEMS INVOLVING THE (p, q)-LAPLACE OPERATOR [PDF]
, 2022 In this paper, we analyze an eigenvalue problem for nonlinear elliptic operators involving homogeneous Dirichlet boundary conditions in a open smooth bounded domain. We prove bifurcation results from trivial solutions and from infinity for the considered
Zongo, Emmanuel Wend-Benedo +1 more
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Nonconforming finite-element discretization of convex variational problems [PDF]
, 2011 The Lavrentiev gap phenomenon is a well-known effect in the calculus of variations, related to singularities of minimizers. In its presence, conforming finite-element methods are incapable of reaching the energy minimum.
Ortner, Christoph
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Residual-Based Error Corrector Operator to Enhance Accuracy and Reliability of Neural Operator Surrogates of Nonlinear Variational Boundary-Value Problems [PDF]
, 2023 This work focuses on developing methods for approximating the solution operators of a class of parametric partial differential equations via neural operators.
Jha, Prashant K.
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Variational Methods in Surface Parameterization [PDF]
, 2005 A surface parameterization is a function that maps coordinates in a 2-dimensional parameter space to points on a surface. This thesis investigates two kinds of parameterizations for surfaces that are disc-like in shape.
Litke, Nathan Jacob
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VARIATIONAL PROBLEMS INVOLVING NON-LOCAL ELLIPTIC OPERATORS [PDF]
, 2014 My thesis deals with nonlinear elliptic problems involving a non-local integrodifferential operator of fractional type. Our main results concern the existence of weak solutions for these problems and they are obtained using variational and topological ...
A. Fiscella
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Nonlinear Eigenvalue Problems and Bifurcation for Quasi-Linear Elliptic Operators [PDF]
, 2022 In this paper, we analyze an eigenvalue problem for quasilinear elliptic operators involving homogeneous Dirichlet boundary conditions in a open smooth bounded domain. We show that the eigenfunctions corresponding to the eigenvalues belong to L-infinity,
Bernhard Ruf, Emmanuel Wend Benedo Zongo
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