On a Class of Fully Nonlinear Elliptic Equations on Closed Hermitian Manifolds II: L∞ Estimate [PDF]
, 2014 We study a class of fully nonlinear elliptic equations on closed Hermitian manifolds. Under the assumption of the cone condition, we derive the L∞ estimate directly. As an application, we solve the complex quotient equations on closed Kähler manifolds. ©
Weiling Sun
semanticscholar +1 more source
Nonlinear elliptic problems with the method of finite volumes
Differential Equations and Nonlinear Mechanics, 2006 We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations.
Sanjay Kumar Khattri
doaj +1 more source
A comprehensive review on the existence of normalized solutions for four classes of nonlinear elliptic equations [PDF]
Opuscula MathematicaThis paper provides a comprehensive review of recent results concerning the existence of normalized solutions for four classes of nonlinear elliptic equations: Schrödinger equations, Schrödinger-Poisson equations, Kirchhoff equations, and Choquard ...
Sitong Chen, Xianhua Tang
doaj +1 more source
Boundary Value Problems for Mixed Type Equations and Applications
, 2011 In this paper we outline a general method for finding well-posed boundary value problems for linear equations of mixed elliptic and hyperbolic type, which extends previous techniques of Berezanskii, Didenko, and Friedrichs.
Khuri, Marcus A.
core +1 more source
Nonlinear elliptic equations with lower-order terms
Differential and Integral Equations, 2001 We prove regularity results for solutions of nonlinear elliptic equations containing a term which grows as $ |u|^\sigma$, $ \sigma>0$, and satisfies a "sign condition." The source term is supposed to be in $ L^1$.
ALVINO, ANGELO +2 more
openaire +4 more sources
$$C^{2,\alpha }$$C2,α estimates for nonlinear elliptic equations in complex and almost complex geometry [PDF]
, 2014 We describe how to use the perturbation theory of Caffarelli to prove Evans–Krylov type $$C^{2,\alpha }$$C2,α estimates for solutions of nonlinear elliptic equations in complex geometry, assuming a bound on the Laplacian of the solution.
Valentino Tosatti +3 more
semanticscholar +1 more source
Numerical Modeling of Tank Cars Carrying Hazardous Materials With and Without Composite Metal Foam
Advanced Engineering Materials, EarlyView.Large‐scale puncture models consisting of hazardous materials (HAZMATs) tank car with protective steel–steel composite metal foam (S–S CMF) are solved numerically. Tank car plate with added 10.91–13.33 mm thick S–S CMF layer does not puncture. Protective S–S CMF absorbs impact energy, reduces plate deformation, and prevents shear bands formation ...
Aman Kaushik, Afsaneh Rabiei
wiley +1 more source
3D‐Printed Sulfur‐Derived Polymers With Controlled Architectures for Lithium‐Sulfur Batteries
Advanced Functional Materials, EarlyView.Rheology‐guided formulation design for direct ink writing enables the fabrication of 3D sulfur copolymer cathodes with controlled architectures for lithium‐sulfur batteries. The printed electrodes exhibit multiscale porosity and high sulfur utilization, delivering enhanced electrochemical performance compared to conventional cast electrodes.
Bin Ling +7 more
wiley +1 more source
Upper bounds for the eigenvalues of Hessian equations
, 2012 We prove some upper bounds for the Dirichlet eigenvalues of a class of fully nonlinear elliptic equations, namely the Hessian equationsComment: 15 pages, 1 ...
B Brandolini +20 more
core +1 more source
Magnetic Force Microscopy Signatures of Higher‐Order Skyrmions and Antiskyrmions
Advanced Functional Materials, EarlyView.Magnetic force microscopy operated under vacuum conditions enables the qualitative identification of higher‐order skyrmions and antiskyrmions in Co/Ni multilayers at room temperature. Distinct stray‐field contrast signatures arise from vertical Bloch lines and complex domain‐wall configurations.
Sabri Koraltan +8 more
wiley +1 more source