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In this paper we are interested in the existence and uniqueness of solutions for the Navier problem associated to the degenerate nonlinear elliptic equations ${Δ (v (x) | Δ u |}^{q - 2} Δ u) - \sum_{j = 1}^{n} D_{j} [ω (x) 𝒜_{j} (x, u, \nabla u)] = f_{0} (x) - \sum_{j = 1}^{n} D_{j} f_{j} (x), in Ω$ in the setting of the weighted Sobolev spaces.

Existence of solutions for $p (x)$ -Laplacian equations.

Mashiyev, R.A., Cekic, B., Buhrii, O.M. (2010)

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

Existence of solutions for some nonlinear elliptic equations.

Anane, Aomar, Chakrone, Omar, Chehabi, Mohammed (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of solutions to microhyperbolic boundary value problems

N. Tose (1987/1988)

Séminaire Équations aux dérivées partielles (Polytechnique)

Existence of solutions to $n$ -dimensional pendulum-like equations.

Amster, Pablo, De Napoli, Pablo L., Mariani, Maria Cristina (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of solutions to nonlocal and singular elliptic problems via Galerkin method.

Correa, Francisco Julio S.A., Menezes, Silvano D.B. (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of solutions to the Poisson equation in $L_{p}$ -weighted spaces

Joanna Rencławowicz, Wojciech M. Zajączkowski (2010)

Applicationes Mathematicae

We examine the Poisson equation with boundary conditions on a cylinder in a weighted space of $L_{p}$ , p≥ 3, type. The weight is a positive power of the distance from a distinguished plane. To prove the existence of solutions we use our result on existence in a weighted L₂ space.

Existence of solutions to the Poisson equation in L₂-weighted spaces

Joanna Rencławowicz, Wojciech M. Zajączkowski (2010)

Applicationes Mathematicae

We consider the Poisson equation with the Dirichlet and the Neumann boundary conditions in weighted Sobolev spaces. The weight is a positive power of the distance to a distinguished plane. We prove the existence of solutions in a suitably defined weighted space.

Existence of Surfaces with Prescribed Mean Curvature Vector.

Robert Gulliver (1973)

Mathematische Zeitschrift

Existence of weak solutions for a nonlinear elliptic system.

Fang, Ming, Gilbert, Robert P. (2009)

Boundary Value Problems [electronic only]

Existence of weak solutions for degenerate semilinear elliptic equations in unbounded domains.

Raghavendra, Venkataramanarao, Kar, Rasmita (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of weak solutions for elliptic Dirichlet problems with variable exponent

Sungchol Kim, Dukman Ri (2023)

Mathematica Bohemica

This paper presents several sufficient conditions for the existence of weak solutions to general nonlinear elliptic problems of the type $\{\begin{matrix} - div a (x, u, \nabla u) + b (x, u, \nabla u) = 0 & in Ω, \\ u = 0 & on \partial Ω, \end{matrix}$ where $Ω$ is a bounded domain of $ℝ^{n}$ , $n \geq 2$ . In particular, we do not require strict monotonicity of the principal part $a (x, z, \cdot)$ , while the approach is based on the variational method and results of the variable exponent function spaces.

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Displaying 81 – 100 of 107

Existence of positive solutions for Dirichlet problems of some singular elliptic equations.

Existence of positive solutions for some nonlinear elliptic problems in unbounded domains of $ℝ^{n}$ .

Existence of Rayleigh resonances exponentially close to the real axis

Existence of solutions for elliptic equations having natural growth terms in Orlicz spaces.

Existence of solutions for Navier problems with degenerate nonlinear elliptic equations

Existence of solutions for $p (x)$ -Laplacian equations.

Existence of solutions for some nonlinear elliptic equations.

Existence of solutions to microhyperbolic boundary value problems

Existence of solutions to $n$ -dimensional pendulum-like equations.

Existence of solutions to nonlocal and singular elliptic problems via Galerkin method.

Existence of solutions to the Poisson equation in $L_{p}$ -weighted spaces

Existence of solutions to the Poisson equation in L₂-weighted spaces

Existence of Surfaces with Prescribed Mean Curvature Vector.

Existence of weak solutions for a nonlinear elliptic system.

Existence of weak solutions for degenerate semilinear elliptic equations in unbounded domains.

Existence of weak solutions for elliptic Dirichlet problems with variable exponent

Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations.

Existence results for nonlinear elliptic equations in bounded domains of $ℝ^{n}$ .

Existence results for semilinear elliptic equations with small measure data

Expanded mixed finite element methods for linear second-order elliptic problems, I

Currently displaying 81 – 100 of 107