Results 81 to 90 of about 14,416 (203)
Strongly resonant quasilinear elliptic equations
Nonlinear Analysis: Theory, Methods & Applications, 2008 The nonlinear boundary value problem \(-\Delta _{p}u=\lambda _{1}| u| ^{p-2}u+g(u)\) in \(\Omega \), \(u| _{\partial \Omega }=0\), is studied in the paper. An existence result is obtained under some strong generalized Landesman--Laser and Tong conditions. The proof is based on a saddle point theorem with Cerami type PS condition.
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Fatigue &Fracture of Engineering Materials &Structures, Volume 48, Issue 7, Page 3168-3184, July 2025.ABSTRACT Measuring ductile fracture toughness for materials requires the specimen size to be large enough for the tests to be valid. The presented work investigates the size related fracture behavior of as‐received and aged 316 L(N) stainless steel through an experimental approach. It focuses on the effects of the thickness and size of the specimens on
Sihan Cheng +4 more
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Existence of solutions for quasilinear elliptic equations involving a nonlocal term
Electronic Journal of Differential Equations, 2015 This article establishes the existence of solutions for a partial differential equation involving a quasilinear elliptic operator and a nonlocal term.
Maria Farcaseanu, Denisa Stancu-Dumitru
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Strong Unique Continuation for Solutions of a p(x)-Laplacian Problem
International Journal of Mathematics and Mathematical Sciences, 2012 We study the strong unique continuation property for solutions to the quasilinear elliptic equation -div(|∇u|p(x)-2∇u)+V(x)|u|p(x)-2u=0 in Ω where V(x)∈LN/p(x)(Ω), Ω is a smooth bounded domain in ℝN, and ...
Johnny Cuadro, Gabriel López
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Existence and Uniqueness of Solutions for the p(x)-Laplacian Equation with Convection Term
Mathematics, 2020 In this paper, we consider the existence and uniqueness of solutions for a quasilinear elliptic equation with a variable exponent and a reaction term depending on the gradient.
Bin-Sheng Wang, Gang-Ling Hou, Bin Ge
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Quasilinear Differential Constraints for Parabolic Systems of Jordan‐Block Type
Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.ABSTRACT We prove that linear degeneracy is a necessary conditions for systems in Jordan‐block form to admit a compatible quasilinear differential constraint. Such condition is also sufficient for 2×2$2\times 2$ systems and turns out to be equivalent to the Hamiltonian property.
Alessandra Rizzo, Pierandrea Vergallo
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Association of Relativistic Electron Microbursts Duration With Chorus Wave Properties
Geophysical Research Letters, Volume 52, Issue 8, 28 April 2025.Abstract Relativistic electron microbursts are correlated with resonant scattering by whistler‐mode chorus waves. Here, we use chorus wave properties obtained from Van Allen Probe A to calculate the duration of relativistic microbursts. A detailed quantitative comparison between observed and calculated microburst durations shows consistent ranges and ...
Jiabei He +4 more
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Journal of Geophysical Research: Space Physics, Volume 130, Issue 4, April 2025.Abstract Whistler‐mode chorus waves play a crucial role in accelerating electrons in Earth's outer radiation belt to relativistic and ultrarelativistic energies. While this electron evolution is typically modeled using a diffusion approximation for scattering, high‐amplitude chorus waves induce nonlinear resonant effects that challenge this approach on
Miroslav Hanzelka +5 more
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A singular ODE related to quasilinear elliptic equations
Electronic Journal of Differential Equations, 2000 We consider a quasilinear elliptic problem with the natural growth in the gradient. Existence, non-existence, uniqueness, and qualitative properties of positive solutions are obtained. We consider both weak and strong solutions.
Luka Korkut +2 more
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Norm Comparison Estimates for the Composite Operator
Journal of Function Spaces, 2014 This paper obtains the Lipschitz and BMO norm estimates for the composite operator 𝕄s∘P applied to differential forms. Here, 𝕄s is the Hardy-Littlewood maximal operator, and P is the potential operator.
Xuexin Li, Yong Wang, Yuming Xing
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