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Displaying 1121 – 1140 of 1309

Existence result for a semilinear parametric problem with Grushin type operator.

Nguyen Minh Chuong, Tran Dinh Ke (2005)

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

Existence result for nonlinear parabolic problems with L¹-data

Abderrahmane El Hachimi, Jaouad Igbida, Ahmed Jamea (2010)

Applicationes Mathematicae

We study the existence of solutions of the nonlinear parabolic problem $\partial u / \partial t - d i v [| D u - Θ (u) |^{p - 2} (D u - Θ (u))] + α (u) = f$ in ]0,T[ × Ω, $(| D u - Θ (u) |^{p - 2} (D u - Θ (u))) \cdot η + γ (u) = g$ on ]0,T[ × ∂Ω, u(0,·) = u₀ in Ω, with initial data in L¹. We use a time discretization of the continuous problem by the Euler forward scheme.

Existence Result for the Displacement Field of Elastic Body

Ivan Šestak, Boško Jovanović (1998)

Publications de l'Institut Mathématique

Existence result for variational degenerated parabolic problems via pseudo-monotonicity.

Aharouch, Lahsen, Azroul, Elhoussine, Rhoudaf, Mohamed (2006)

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

Existence results and applications for general variational-hemivariational inequalities on unbounded domains.

Mezei, Ildikó-Ilona, Săplăcan, Lia (2009)

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

Existence results for a class of nonlinear parabolic equations in Orlicz spaces.

Redwane, Hicham (2010)

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

Existence results for a class of nonlinear parabolic equations with two lower order terms

Ahmed Aberqi, Jaouad Bennouna, M. Hammoumi, Mounir Mekkour, Ahmed Youssfi (2014)

Applicationes Mathematicae

We investigate the existence of renormalized solutions for some nonlinear parabolic problems associated to equations of the form ⎧ $\partial (e^{β u} - 1) / \partial t - {d i v (| \nabla u |}^{p - 2} \nabla u) + d i v (c (x, t) {| u |}^{s - 1} u) + b (x, t) {| \nabla u |}^{r} = f$ in Q = Ω×(0,T), ⎨ u(x,t) = 0 on ∂Ω ×(0,T), ⎩ $(e^{β u} - 1) (x, 0) = (e^{β u ₀} - 1) (x)$ in Ω. with s = (N+2)/(N+p) (p-1), $c (x, t) \in {(L^{τ} (Q T))}^{N}$ , τ = (N+p)/(p-1), r = (N(p-1) + p)/(N+2), $b (x, t) \in L^{N + 2, 1} (Q T)$ and f ∈ L¹(Q).

Existence results for a class of semilinear degenerate elliptic equations

Salvatore Bonafede (2003)

Mathematica Bohemica

We prove existence results for the Dirichlet problem associated with an elliptic semilinear second-order equation of divergence form. Degeneracy in the ellipticity condition is allowed.

Existence results for a class of semi-linear evolution equations.

Hernández M., Eduardo (2001)

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

Existence results for a fourth order partial differential equation arising in condensed matter physics

Carlos Escudero, Filippo Gazzola, Robert Hakl, Ireneo Peral, Pedro José Torres (2015)

Mathematica Bohemica

We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation which nonlinearity is the determinant of the Hessian matrix of the solution. We consider this model in a bounded domain of the real plane and study its stationary solutions both when the geometry of this domain is arbitrary and when it is the unit ball and the solution is radially symmetric. We also consider the initial-boundary value problem...