Results 21 to 30 of about 95,301 (251)
Nonlinear Elliptic Eigenvalue Problems with Discontinuities
Journal of Mathematical Analysis and Applications, 1999 Existence of nontrivial solutions to two nonlinear eigenvalue problems with discontinuous nonlinearities is proved in this paper. The first one is given by \(-\Delta_p\in \lambda[f_0(x,u), f_1(x,u)]\) in \(D\), \(u=0\) on \(\partial D\), where \(D\) is a smooth bounded domain in \(\mathbb{R}^N\), \(p\geq 2\), \(\lambda\) is a real parameter and \(f_0(x,
Hu, Shouchuan +2 more
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Comptes Rendus. Mathématique, 2023 We establish a Lipschitz stability inequality for the problem of determining the nonlinear term in a quasilinear elliptic equation by boundary measurements.
Choulli, Mourad
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Mathematics, 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
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Boundary regularity for viscosity solutions of fully nonlinear elliptic equations
, 2013 We provide regularity results at the boundary for continuous viscosity solutions to nonconvex fully nonlinear uniformly elliptic equations and inequalities in Euclidian domains.
Silvestre, Luis, Sirakov, Boyan
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Nonlinear Elliptic Problems Above Criticality
Milan Journal of Mathematics, 2006 We consider the elliptic problem Δu + u p = 0, u > 0 in an exterior domain, $$\Omega = {\mathbb{R}}^{N} \backslash {\mathcal{D}}$$ under zero Dirichlet and vanishing conditions, where
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Nonlinear Elliptic Boundary Value Problems at Resonance with Nonlinear Wentzell Boundary Conditions
Advances 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
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Nonlinear elliptic p(u)−Laplacian problem with Fourier boundary condition
Cubo, 2020 We study a nonlinear elliptic \(p(u)-\) Laplacian problem with Fourier boundary conditions and \(L^1-\) data. The existence and uniqueness results of entropy solutions are established.
Stanislas Ouaro, Noufou Sawadogo
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Recent Results on Nonlinear Elliptic Free Boundary Problems
Vietnam 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.
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SOME ELLIPTIC PROBLEMS WITH NONLINEAR BOUNDARY CONDITIONS [PDF]
Spectral 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
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Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
Advanced 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