Existence of positive solutions to a superlinear elliptic problem.
Existence of solution for a singular elliptic equation with critical Sobolev-Hardy exponents.
Existence of solutions for a class of Kirchhoff type problems in Orlicz-Sobolev spaces
We consider Kirchhoff type problems of the form ⎧ -M(ρ(u))(div(a(|∇u|)∇u) - a(|u|)u) = K(x)f(u) in Ω ⎨ ⎩ ∂u/∂ν = 0 on ∂Ω where , N ≥ 3, is a smooth bounded domain, ν is the outward unit normal to ∂Ω, , M: [0,∞) → ℝ is a continuous function, , and f: ℝ → ℝ is a continuous function not satisfying the Ambrosetti-Rabinowitz type condition. Using variational methods, we obtain some existence and multiplicity results.
Existence of solutions for a nonlinear elliptic Dirichlet boundary value problem with an inverse square potential.
Existence of solutions for a -Laplacian non-homogeneous equations.
Existence of solutions for a resonant problem under Landesman-Lazer conditions.
Existence of solutions for an elliptic equation involving the -Laplace operator.
Existence of solutions for quasilinear degenerate elliptic equations.
Existence of solutions to indefinite quasilinear elliptic problems of --Laplacian type.
Existence of two nontrivial solutions for semilinear elliptic problems.
Existence of weak solutions for a nonuniformly elliptic nonlinear system in .
Existence of weak solutions for elliptic Dirichlet problems with variable exponent
This paper presents several sufficient conditions for the existence of weak solutions to general nonlinear elliptic problems of the type where is a bounded domain of , . In particular, we do not require strict monotonicity of the principal part , while the approach is based on the variational method and results of the variable exponent function spaces.
Existence of weak solutions for quasilinear elliptic equations involving the -Laplacian.
Existence results for elliptic systems involving critical Sobolev exponents.
Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions.
Existence theorems for nonlinear elliptic problems.
Extending Minimal Varieties.
Finding linking sets.
Finite element approximations of a glaciology problem
In this paper we study a model problem describing the movement of a glacier under Glen’s flow law and investigated by Colinge and Rappaz [Colinge and Rappaz, ESAIM: M2AN 33 (1999) 395–406]. We establish error estimates for finite element approximation using the results of Chow [Chow, SIAM J. Numer. Analysis 29 (1992) 769–780] and Liu and Barrett [Liu and Barrett, SIAM J. Numer. Analysis 33 (1996) 98–106] and give an analysis of the convergence of the successive approximations used in [Colinge and...
Finite element approximations of a glaciology problem
In this paper we study a model problem describing the movement of a glacier under Glen's flow law and investigated by Colinge and Rappaz [Colinge and Rappaz, ESAIM: M2AN33 (1999) 395–406]. We establish error estimates for finite element approximation using the results of Chow [Chow, SIAM J. Numer. Analysis29 (1992) 769–780] and Liu and Barrett [Liu and Barrett, SIAM J. Numer. Analysis33 (1996) 98–106] and give an analysis of the convergence of the successive approximations used in [Colinge and...