We study regularity properties of weak solutions in the Sobolev space W^ 1, n _0 to
inhomogeneous elliptic systems under a natural growth condition and on bounded Lipschitz …

We discuss the problem–div (a (x,∇ u))= m (x)| u| r (x)− 2 u+ n (x)| u| s (x)− 2 u in Ω, where Ω
is a bounded domain with smooth boundary in ℝ N (N≥ 2), and div (a (x,∇ u)) is ap (x) …

We are interested in existence of solutions for some typical elliptic systems governed by two
pseudo-laplacian operators with critical Sobolev exponents. We show this result by a local …

We study the existence of minimizing solutions for an elliptic equation with critical Sobolev
growth on a smooth bounded domain of R 3. We answer in particular two questions of …

In this paper, we extend the result of Yan and Yang on equations to an elliptic system
involving critical Sobolev and Hardy–Sobolev exponents in bounded domains satisfying …

(1) av’ Page 1 Nonlmear Analysis, Theory, Methods & Appl,cat,ons, Vol. 17, No. 10, pp. 973-989,
1991. 0362-546X/91 $3.00+ .oO Prmted in Great Britain. ~9 1991 Pergamon Press plc …

In this paper we apply minimax methods to obtain existence and multiplicity of weak
solutions for singular and nonhomogeneous elliptic equation of the form where u∈ W01, N …

We consider weak solutions u ∈ u_0+ W^ 1, 2 _0 (Ω, R^ N) ∩ L^ ∞ (Ω, R^ N) of second-
order nonlinear elliptic systems of the type-\rm div\, a (\, ⋅\,, u, Du)= b (\, ⋅\,, u, Du)\qquad in …

Let Ω be a bounded domain in Rn (n≧ 3) with Lipschitz-continuous boundary,∂ Ω= Γ0∪
Γ1. In this paper we consider the following problem: where φ∈ L2 (Γ1), φ≢ 0 on Γ1 and γ is …

In the past decade much attention has been devoted to semilinear elliptic equations
involving the critical Sobolev exponent. The main direction of investigation has interested …