Results 51 to 60 of about 564 (167)
Electronic Journal of Differential Equations, 2013 In this article, we show the existence of multiple positive solutions to a class of degenerate elliptic equations involving critical cone Sobolev exponent and sign-changing weight function on singular manifolds with the help of category theory and the
Haining Fan, Xiaochun Liu
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Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations
Boundary Value Problems, 2006 The goal of this paper is to study the existence and the multiplicity of non-trivial weak solutions for some degenerate nonlinear elliptic equations on the whole space RN. The solutions will be obtained in a subspace of the Sobolev space W1/p(RN).
Mihai Mihăilescu
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A note on a degenerate elliptic equation with applications for lakes and seas
Electronic Journal of Differential Equations, 2004 In this paper, we give an intermediate regularity result on a degenerate elliptic equation with a weight blowing up on the boundary. This kind of equations is encountoured when modelling some phenomena linked to seas or lakes. We give some examples where
Didier Bresch +2 more
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Existence of bounded solutions of Neumann problem for a nonlinear degenerate elliptic equation
Electronic Journal of Differential Equations, 2017 We prove the existence of bounded solutions of Neumann problem for nonlinear degenerate elliptic equations of second order in divergence form. We also study some properties as the Phragmen-Lindelof property and the asymptotic behavior of the solutions
Salvatore Bonafede
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Existence of solutions for a degenerate seawater intrusion problem
Electronic Journal of Differential Equations, 2005 We study a seawater intrusion problem in a confined aquifer. This process can be formulated as a coupled system of partial differential equations which includes an elliptic and a degenerate parabolic equation.
Mohamed El Alaoui Talibi +1 more
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Global attractors for a class of degenerate diffusion equations
Electronic Journal of Differential Equations, 2003 In this paper we give two existence results for a class of degenerate diffusion equations with p-Laplacian. One is on a unique global strong solution, and the other is on a global attractor.
Shingo Takeuchi, Tomomi Yokota
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Electronic Journal of Differential Equations, 2012 We investigate the behavior of strong solutions to oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point.
Mariusz Bodzioch
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Pseudo-monotonicity and degenerate elliptic operators of second order
Electronic Journal of Differential Equations, 2002 Extending the theory of pseudo-monotone mappings in weighted Sobolev spaces, we prove some existence results for degenerate or singular elliptic equations generated by the second-order differential operator $$ Au(x)=-mathop{m div}a(x,u,abla u))+a_0(x,u ...
Youssef Akdim, Elhoussine Azroul
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Boundary Value Problems, 2011 A system of elliptic equations which are irregularly degenerate at an inner point is considered in this article. The equations are weakly coupled by a matrix that has multiple zero eigenvalue and corresponding to it adjoint vectors.
Rutkauskas Stasys
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Nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivity
Electronic Journal of Differential Equations, 2018 In this article, we prove the existence and the regularity of distributional solutions for a class of nonlinear anisotropic elliptic equations with $p_i(x)$ growth conditions, degenerate coercivity and $L^{m(\cdot)}$ data, with $m(\cdot)$ being small,
Hocine Ayadi, Fares Mokhtari
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