Bounded weak solutions to nonlinear elliptic equations.

El Hachimi, Abderrahmane; Igbida, Jaoud

Displaying similar documents to “Bounded weak solutions to nonlinear elliptic equations.”

Positive solutions for some quasilinear elliptic equations with natural growths

Lucio Boccardo (2000)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We shall prove an existence result for a class of quasilinear elliptic equations with natural growth. The model problem is $\{\begin{matrix} - div ((1 + {|u|}^{r}) \nabla u) + {|u|}^{m - 2} u {|\nabla u|}^{2} = f & in Ω \\ u = 0 & su \partial Ω . \end{matrix}$

On the solvability of superlinear and nonhomogeneous quasilinear equations.

Jia, Gao, Zhao, Qing, Dai, Chun-Yan (2009)

Boundary Value Problems [electronic only]

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Eigenvalue problems for a quasilinear elliptic equation on $ℝ^{n}$ .

Poulou, Marilena N., Stavrakakis, Nikolaos M. (2005)

International Journal of Mathematics and Mathematical Sciences

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Infinitely many solutions for a semilinear elliptic equation with sign-changing potential.

Yu, Chen, Yongqing, Li (2009)

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Existence result for a class of elliptic systems with indefinite weights in $ℝ^{2}$ .

Zhang, Guoqing, Liu, Sanyang (2008)

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Time-dependent Stokes equations with measure data.

Bui An Ton (2003)

Abstract and Applied Analysis

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Periodic solutions of $p$ -Laplacian systems with a nonlinear convection term.

El Ouardi, Hamid (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Existence result for a class of nonlinear elliptic systems on punctured unbounded domains.

Colin, Fabrice (2010)

Boundary Value Problems [electronic only]

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Finite element approximation of a two-layered liquid film in the presence of insoluble surfactants

John W. Barrett, Linda El Alaoui (2008)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider a system of degenerate parabolic equations modelling a thin film, consisting of two layers of immiscible Newtonian liquids, on a solid horizontal substrate. In addition, the model includes the presence of insoluble surfactants on both the free liquid-liquid and liquid-air interfaces, and the presence of both attractive and repulsive van der Waals forces in terms of the heights of the two layers. We show that this system formally satisfies a Lyapunov structure, and a...

Existence of infinitely many nodal solutions for a superlinear Neumann boundary value problem.

Qian, Aixia (2005)

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Existence for elliptic equations in $L^{1}$ having lower order terms with natural growth.

Porretta, A. (2000)

Portugaliae Mathematica

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