We study multiplicity of solutions of the following elliptic problems in which critical and
supercritical Sobolev exponents are involved:-Δ u&= g (x, u)+ λ h (x, u) &\quad& in Ω and u …

We consider the Dirichlet boundary value problem for quasilinear elliptic systems in a
bounded domain Ω ⊂ R^ N Ω⊂ RN with a diagonal (p_1, p_2)(p 1, p 2)-Laplacian as …

Consider the equation− Δ u= 0 in a bounded smooth domain Ω ⊂ R^ N, complemented by
the nonlinear Neumann boundary condition∂ ν u= f (x, u)− u on∂ Ω. We show that any very …

We prove existence of nontrivial solutions to semilinear fourth order problems at critical
growth in some contractible domains which are perturbations of small capacity of domains …

In this paper, we consider the problem -Δu=|u|^2^*-2u+λu in Ω, u=0 on ∂Ω, where Ω is an
open regular bounded subset of \mathbbR^N (N≧3), 2^*=2NN-2 is the critical Sobolev …

We study the Dirichlet problem for the elliptic equations in a bounded domain Ω⊂ Rn, and
the class of elliptic systems u=(u (1),…, u (n)), satisfying the growth condition [Formula: see …

A= lu€ H\Sl): uh G f u2n^ n~^= 7J, where h is the harmonic extension of< p> 0. It is well
known that for p= 0, the existence of nontrivial solutions is often a very subtle question. For …

This article deals with the study of the following singular quasilinear equation:(P)-Δ pu-Δ qu=
f (x) u-δ, u> 0 in Ω; u= 0 on∂ Ω, where Ω is a bounded domain in RN with C 2 boundary∂ Ω …

We use variational techniques to prove existence and nonexistence results for the following
singular elliptic system:{-div⁡(|∇⁡ u| p-2⁢∇⁡ u)= θ⁢ zqu 1-θ, u> 0⁢ in⁢ Ω, u∈ W 0 1 …

We consider boundary regularity for weak solutions of second-order quasilinear elliptic
systems under controllable growth condition, and obtain a general criterion for a weak …