Results 31 to 40 of about 95,793 (250)

Recent Results on Nonlinear Elliptic Free Boundary Problems

open access: yesVietnam Journal of Mathematics, 2022
AbstractIn this paper we give an overview of some recent and older results concerning free boundary problems governed by elliptic operators.
Ferrari F., Lederman C., Salsa S.
openaire   +3 more sources

Nonlinear Elliptic Boundary Value Problems at Resonance with Nonlinear Wentzell Boundary Conditions

open access: yesAdvances in Mathematical Physics, 2017
Given a bounded domain Ω⊂RN with a Lipschitz boundary ∂Ω and p,q∈(1,+∞), we consider the quasilinear elliptic equation -Δpu+α1u=f in Ω complemented with the generalized Wentzell-Robin type boundary conditions of the form bx∇up-2∂nu-ρbxΔq,Γu+α2u=g on ∂Ω ...
Ciprian G. Gal, Mahamadi Warma
doaj   +1 more source

On the approximation of the principal eigenvalue for a class of nonlinear elliptic operators

open access: yes, 2016
We present a finite difference method to compute the principal eigenvalue and the corresponding eigenfunction for a large class of second order elliptic operators including notably linear operators in nondivergence form and fully nonlinear operators. The
Birindelli, Isabeau   +2 more
core   +1 more source

SOME ELLIPTIC PROBLEMS WITH NONLINEAR BOUNDARY CONDITIONS [PDF]

open access: yesSpectral Theory and Nonlinear Analysis with Applications to Spatial Ecology, 2005
This paper concerns with some elliptic equations with non-linear boundary conditions. Sub-supersolution and bifurcation methods are used in order to obtain existence, uniqueness or multiplicity of positive solutions.
Morales Rodrigo, Cristian   +4 more
openaire   +3 more sources

Imaging of Biphoton States: Fundamentals and Applications

open access: yesAdvanced Functional Materials, EarlyView.
Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley   +1 more source

Free Vibration Analysis of Nonlinear Structural-Acoustic System with Non-Rigid Boundaries Using the Elliptic Integral Approach

open access: yesMathematics, 2020
This study addresses the free vibration analysis of nonlinear structural-acoustic system with non-rigid boundaries. In practice, the boundaries of a panel–cavity system are usually imperfectly rigid.
Yiu-yin Lee
doaj   +1 more source

Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics

open access: yesAdvanced Materials, EarlyView.
The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades   +7 more
wiley   +1 more source

Advanced Design for Weakly Coupled Resonators by Automatic Active Optimization

open access: yesAdvanced Materials Technologies, EarlyView.
An Automatic Active Optimization (AAO) strategy integrates machine learning predictors and genetic algorithms in a closed‐loop workflow. By iteratively expanding its dataset with new discoveries, AAO overcomes the limits of conventional methods. This approach finds superior microstructural designs beyond the initial sample space. We demonstrate this on
Wei Yue   +8 more
wiley   +1 more source

Existence Results For A Class Of Nonlinear Degenerate Elliptic Equations

open access: yesMoroccan Journal of Pure and Applied Analysis, 2019
In this paper we are interested in the existence of solutions for Dirichlet problem associated with the degenerate nonlinear elliptic ...
Cavalheiro Albo Carlos
doaj   +1 more source

Initial-boundary value problem for higher-orders nonlinear elliptic-parabolic equations with variable exponents of the nonlinearity in unbounded domains without conditions at infinity

open access: yesМатематичні Студії, 2023
Initial-boundary value problems for parabolic and elliptic-parabolic (that is degenerated parabolic) equations in unbounded domains with respect to the spatial variables were studied by many authors.
M. M. Bokalo, O. V. Domanska
doaj   +1 more source

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