Results 11 to 20 of about 3,081 (308)
Solutions to singular quasilinear elliptic equations on bounded domains
Electronic Journal of Differential Equations, 2018 In this article we study quasilinear elliptic equations with a singular operator and at critical Sobolev growth. We prove the existence of positive solutions.
Zhouxin Li, Youjun Wang
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Elliptic perturbations for Hammerstein equations with singular nonlinear term
Electronic Journal of Differential Equations, 2006 We consider a singular elliptic perturbation of a Hammerstein integral equation with singular nonlinear term at the origin. The compactness of the solutions to the perturbed problem and, hence, the existence of a positive solution for the ...
Giuseppe Maria Coclite +1 more
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Sharp nonexistence results for a linear elliptic inequality involving Hardy and Leray potentials [PDF]
, 2011 We deal with nonnegative distributional supersolutions for a class of linear elliptic equations involving inverse-square potentials and logarithmic weights.
Roberta Musina +8 more
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Homogenization of singular elliptic systems with nonlinear conditions on the interfaces [PDF]
, 2020 We prove existence and homogenization results for elliptic problems involving a singular lower order term and defined on a domain with interfaces having a nonlinear response.
Amar Micol, Giuseppe Riey
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On singular quasilinear elliptic equations with data measures
Advances in Nonlinear Analysis, 2021 The aim of this work is to study a quasilinear elliptic equation with singular nonlinearity and data measure. Existence and non-existence results are obtained under necessary or sufficient conditions on the data, where the main ingredient is the ...
Alaa Nour Eddine +2 more
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Quasilinear Elliptic Equations with Singular Nonlinearity
Advanced Nonlinear Studies, 2016 Abstract In this paper, motivated by recent works on the study of the equations which model electrostatic MEMS devices, we study the quasilinear elliptic equation (Pλ) {
João Marcos do Ó, Esteban da Silva
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Second-Order Elliptic Equation with Singularities [PDF]
International Journal of Differential Equations, 2020 On the compact Riemannian manifold of dimension n≥5, we study the existence and regularity of nontrivial solutions for nonlinear second-order elliptic equation with singularities. At the end, we give a geometric application of the above singular equation.
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Singular nonlinear elliptic equations in Rn
Abstract and Applied Analysis, 1998 This paper deals with existence, uniqueness and regularity of positive generalized solutions of singular nonlinear equations of the form −Δu+a(x)u=h(x)u−γ in Rn where a,h are given, not necessarily continuous functions, and γ is a positive number.
C. O. Alves, J. V. Goncalves, L. A. Maia
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The Wente problem for a singular elliptic equation
Journal of Mathematical Analysis and Applications, 2003 The Jacobian det∇u of some vector field u belonging to W 1,n(Rn,Rn) plays a particular role in various partial differential equation arising from calculus of variations, mechanics, and geometry. Although det∇u is only integrable, but due to its special structure this quantity has some suitable regularity properties. Recently in [8], Coifman et al. have
Baraket, Sami, Bazarbacha, Imen
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Removable Singularities for Anisotropic Elliptic Equations [PDF]
Potential Analysis, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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