Results 11 to 20 of about 833 (219)

BIFURCATION RESULTS FOR NONLINEAR EIGENVALUE PROBLEMS INVOLVING THE (p, q)-LAPLACE OPERATOR

open access: yes, 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
core   +3 more sources

Nonconforming finite-element discretization of convex variational problems [PDF]

open access: yes, 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
core   +1 more source

Variational Methods in Surface Parameterization [PDF]

open access: yes, 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
core   +1 more source

VARIATIONAL PROBLEMS INVOLVING NON-LOCAL ELLIPTIC OPERATORS [PDF]

open access: yes, 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
core   +1 more source

Nonlinear Eigenvalue Problems and Bifurcation for Quasi-Linear Elliptic Operators [PDF]

open access: yes, 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
core   +1 more source

Multiscale Geometric Integration of Deterministic and Stochastic Systems [PDF]

open access: yes, 2011
In order to accelerate computations and improve long time accuracy of numerical simulations, this thesis develops multiscale geometric integrators. For general multiscale stiff ODEs, SDEs, and PDEs, FLow AVeraging integratORs (FLAVORs) have been ...
Tao, Molei
core   +1 more source

Triple solutions for nonlinear elliptic problems driven by a non-homogeneous operator [PDF]

open access: yes, 2020
Some multiplicity results for a parametric nonlinear Dirichlet problem involving a nonhomogeneous differential operator of p-Laplacian type are given. Via variational methods, the article furnishes new contributions and completes some previous results ...
Bonanno G., Livrea R., D'Agui G.
core   +1 more source

Residual-Based Error Corrector Operator to Enhance Accuracy and Reliability of Neural Operator Surrogates of Nonlinear Variational Boundary-Value Problems

open access: yes, 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.
core   +1 more source

Energy-Minimizing Microstructures in Multiphase Elastic Solids [PDF]

open access: yes, 2004
This thesis concerns problems of microstructure and its macroscopic consequences in multiphase elastic solids, both single crystals and polycrystals. The elastic energy of a two-phase solid is a function of its microstructure.
Chenchiah, Isaac Vikram
core   +1 more source

Carboxylic‐Acid Functionalized Multiwalled Carbon Nanotube‐Alkane‐Based Resistive Temperature Sensor for Cold Chain Applications

open access: yesAdvanced Engineering Materials, EarlyView.
This study presents a reversible temperature sensor with high switching ratio, ∼103. The device is fabricated using PET‐ITO and carbon nanotube dispersions in alkane. Considering its application in cold chain logistics, a proof‐of‐concept with LED is showcased. Thus, a temperature drop below the threshold temperature (crystallization temperature of the
Sunil Kumar Behera   +8 more
wiley   +1 more source

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