Nonlinear elliptic equations with a jumping reaction
Journal of Mathematical Analysis and Applications, 2016 Abstract We study a nonlinear nonhomogeneous Dirichlet problem driven by the sum of a p-Laplacian and a Laplacian ( 2 p + ∞ ) and a jumping nonlinearity. Under very general conditions on the reaction and without using the Fucik spectrum, we show that the problem has at least three nontrivial solutions and we provide sign information for ...
Gasiński, Leszek +1 more
openaire +3 more sources
On a class of fully nonlinear elliptic equations on closed Hermitian manifolds II: $L^\infty$ estimate [PDF]
arXiv, 2014 We study a class of fully nonlinear elliptic equations on closed Hermitian manifolds. Under the assumption of cone condition, we derive the $L^\infty$ estimate directly.
arxiv
Local existence result of the single dopant diffusion including cluster reactions of high order
Abstract and Applied Analysis, 2001 We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions.
R. Bader, W. Merz
doaj +1 more source
The Neumann problem for a class of fully nonlinear elliptic partial differential equations [PDF]
arXiv, 2019 In this paper, we establish a global $C^2$ estimates to the Neumann problem for a class of fullly nonlinear elliptic equations. By the method of continuity, we establish the existence theorem of $k$-admissible solutions of the Neumann problems.
arxiv
Experimental Investigation of an Earthquake‐Resistant Steel Bridge Substructure System
Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT The grouted shear stud connection has been experimentally shown to provide two‐column steel bridge bent systems with seismic resistance. It achieves this by relocating the plastic hinging to the column section, thereby mobilizing the full strength and ductility of the steel columns.
Arjun Jayaprakash +2 more
wiley +1 more source
Interaction between heterogeneous thermal stratification and wakes of wind turbine arrays
Wind Energy, Volume 26, Issue 2, Page 163-181, February 2023., 2023 Abstract The thermal heterogeneity between the land and sea might affect the wind patterns within wind farms (WF) located near seashores. This condition was modeled with a large‐eddy simulation of a numerical weather prediction model (Weather Research and Forecasting) that included the wind turbine actuator disk model (ADM).
Keisuke Nakao, Yasuo Hattori
wiley +1 more source
Bounds for nonlinear eigenvalue problems
Electronic Journal of Differential Equations, 2001 We develop a technique for obtaining bounds on bifurcation curves of nonlinear boundary-value problems defined through nonlinear elliptic partial differential equations.
Rafael D. Benguria +1 more
doaj
Elliptic Optical Soliton in Anisotropic Nonlocal Competing Cubic–Quintic Nonlinear Media
IEEE Photonics Journal, 2018 The propagation of elliptic optical beam in (1 + 2)-dimensional nonlocal competing cubic-quintic (CQ) nonlinear media was investigated analytically and numerically. The evolution equations for the parameters of the optical beam and the critical powers of
Qing Wang, Jingzhen Li, Weixin Xie
doaj +1 more source
Regularity for solutions of fully nonlinear elliptic equations with non-homogeneous degeneracy [PDF]
arXiv, 2019 We prove that viscosity solutions to fully nonlinear elliptic equations with degeneracy of double phase type are locally $C^{1,\gamma}$-regular.
arxiv
Study on Mine Earthquake Prediction Based on Numerical Simulation of Rock Fracture Evolution
Energy Science &Engineering, EarlyView.This study analyzes the geomechanical behavior and fracture evolution of overlying strata to prevent rock bursts and identify mine earthquake sources. By establishing a refined stope model and applying the “O–X” fracture mechanics model, combined with microseismic monitoring data, this study reveals the spatiotemporal evolution laws of strata migration
Xiu‐Feng Zhang +10 more
wiley +1 more source