Results 111 to 120 of about 3,081 (308)
Study of singular elliptic equations with mixed boundary conditions and nonlocal source terms
Electronic Journal of Qualitative Theory of Differential EquationsIn this article, we study the generalized solutions for singular elliptic equations with mixed boundary conditions, a nonlocal source term and a Hardy potential.
Khaled Kefi +2 more
doaj +1 more source
Sublinear elliptic equations with singular coefficients on the boundary
Journal of the Mathematical Society of Japan, 2010 The author studies a sublinear elliptic equation with singular coefficient on the boundary. The problem is considered in any bounded domain \(\Omega\) with zero Dirichlet boundary condition. It is proved that the equation has a unique positive solution and infinitely many sign-changing solutions which belong to \(C^1(\overline{\Omega})\) or \(C^2 ...
openaire +3 more sources
Schauder type estimates for degenerate or singular elliptic equations with DMO coefficients
In this paper, we study degenerate or singular elliptic equations in divergence form. We establish boundary Schauder type estimates under the conormal boundary condition on the flat boundary, provided that the coefficients satisfy Dini mean oscillation (
Dong, Hongjie +2 more
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The Anatomical Record, EarlyView.Abstract Teleocichla comprises small cichlids that inhabit the rapid streams of Amazonian rivers; however, there has been limited research on their encephalon morphology. This study examined the neuroanatomy of four species, focusing on volumetric measurements of their encephalon subregions, and providing a histological description of the encephalon of
Renan Leão‐Reis +4 more
wiley +1 more source
Fractional elliptic equations with sign-changing and singular nonlinearity
Electronic Journal of Differential Equations, 2016 In this article, we study the fractional Laplacian equation with singular nonlinearity $$\displaylines{ (-\Delta)^s u = a(x) u^{-q}+ \lambda b(x) u^p\quad \text{in }\Omega, \cr \quad u>0\quad \text{in }\Omega, \quad u = 0 \quad \text{in } \partial ...
Sarika Goyal, Konijeti Sreenadh
doaj
Analysis of complex nonlinear reaction-diffusion equations [PDF]
, 2008 A mathematical analysis has been carried out for some nonlinear reaction- diffusion equations on open bounded convex domains Ω C R(^d)(d < 3) with Robin boundary conditions- Existence, uniqueness and continuous dependence on initial data of weak and ...
Al-Ofl, Abdalaziz Saleem
core
Nasal soft‐tissue anatomy of Triceratops and other horned dinosaurs
The Anatomical Record, EarlyView.Abstract Although ceratopsid dinosaurs possess a characteristically hypertrophied narial region, soft‐tissue anatomy associated with such a skeletal structure and their biological significance remain poorly understood. The present study provides the first comprehensive hypothesis on the soft‐tissue anatomy in the ceratopsid rostrum based on the Extant ...
Seishiro Tada +5 more
wiley +1 more source
Existence of solutions to singular fourth-order elliptic equations
Electronic Journal of Differential Equations, 2013 Using a method developed by Ambrosetti et al [1,2] we prove the existence of weak non trivial solutions to fourth-order elliptic equations with singularities and with critical Sobolev ...
Mohammed Benalili, Kamel Tahri
doaj
MathematicsIn this paper, for a mixed elliptic-hyperbolic type equation with various degeneration orders and singular coefficients, theorems of uniqueness and existence of the solution to the problem with a missing Tricomi condition on boundary characteristic and ...
Assel Makulbay +3 more
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W2,p-Solvability of the Dirichlet Problem for Elliptic Equations with Singular Data
Abstract and Applied Analysis, 2015 We give an overview on some results concerning the unique solvability of the Dirichlet problem in W2,p, p>1, for second-order linear elliptic partial differential equations in nondivergence form and with singular data in weighted Sobolev spaces.
Loredana Caso +2 more
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