Results 141 to 150 of about 2,162,787 (303)
On the nonlinear elliptic equations with symmetry
Journal of Mathematical Analysis and Applications, 1981 has a smooth solution with norm r in the appropriate function space. This theorem is based on an infinite-dimensional analogue of the following theorem of Borsuk: if D c R” is the unit disc in the euclidean space then for every odd mapping J D + Rk, k 1, then there is no G-equivariant mapf: S(v) + w\(O).
openaire +2 more sources
A Pseudo-Monotonicity Adapted to Doubly Nonlinear Elliptic-Parabolic Equations
, 2001 Pseudo-monotonicity seems to be a good notion to deal with convergence in nonlinear terms of partial differential equations. J.-L. Lions [16] used two different definitions of pseudo-monotonicity for elliptic and parabolic problems, and derived ...
Maitre, Emmanuel +5 more
core +1 more source
Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
Nonlinear boundary conditions for elliptic equations
Electronic Journal of Differential Equations, 2005 This work is devoted to the study of the elliptic equation $Delta u = f(x,u)$ in a bounded domain $Omegasubset mathbb{R}^n$ with a nonlinear boundary condition.
Osvaldo Mendez +2 more
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A Note on a Nonlinear Elliptic Equation [PDF]
Indiana University Mathematics Journal, 1972 openaire +1 more source
An optimizing microseismic method for rock burst early warning based on mining production process
Deep Underground Science and Engineering, EarlyView.A classification early warning method of rock burst based on hourly microseismic data is proposed, which can be combined with the on‐site production process to provide more timely warning. Abstract Microseismic (MS) events have been reported in nearly every coal mining country, which could well lead to rock burst in underground coal mines.
Zepeng Han +6 more
wiley +1 more source
Electronic Journal of Differential Equations, 2005 When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
doaj
Seismic analysis and design of tunnels within fault ground: A review
Deep Underground Science and Engineering, EarlyView.The research methods of seismic response of tunnels within fault ground, including field investigations, analytical solutions, physical experiments, and numerical simulations, and seismic countermeasures are discussed. The present study examines the shortcomings and limitations of the current research and design, and puts forward proposals for future ...
Xingda Wang +6 more
wiley +1 more source
Exact Solutions of a Class of Nonlinear Elliptic Systems of a Special Type
Известия Иркутского государственного университета: Серия "Математика", 2015 In paper the problem of construction of exact solutions for nonlinear system of two equations of elliptic type is studied. Nonlinear systems of the equations of elliptic type are applied as mathematical models in the theory warm and a mass transfer of ...
A.A. Kosov, E.I. Semenov
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Deep Underground Science and Engineering, EarlyView.The tensile strength of granite, a proposed host for nuclear waste, degrades severely above 400°C. We link this to specific microcracking patterns captured by acoustic emission, establishing a scientific basis for assessing repository safety under thermal load.
Wei Zeng +7 more
wiley +1 more source