A Regularity Theorem for a Singular Elliptic Equation Page 1 Applicable Analysis, 1983, Vol.
14, pp. 223-236 0003-681 I, 83 1403-0223 $18.50 0 I Gordon and Breach Sc~ence Publishers …

In this paper we prove the boundedness and Hölder continuity of quasilinear elliptic
problems involving variable exponents for a homogeneous Dirichlet and a …

We study the boundary value problem− div?((|? u| p1 (x)− 2+|? u| p2 (x)− 2)? u)= f (x, u) in O,
u= 0 on? O, where O is a smooth bounded domain in RN. We focus on the cases when …

Let Ω be a bounded domain in RN (N≥ 3) with the origin 0∈ Ω, μ<((N− 2)/2) 2, 2∗(s)= 2 (N−
s)/(N− 2); K (x)≥ 0 and Q (x)≥ 0 are two smooth functions on Ω. In this paper, we investigate …

We derive global gradient estimates for W^ 1, p _0 (Ω) W 0 1, p (Ω)-weak solutions to
quasilinear elliptic equations of the form div\, a (x, u, Du)= div\,(| F|^ p-2 F) div a (x, u, D u) …

A uniqueness result for a semilinear elliptic equation involving the critical Sobolev exponent in
symmetric domains Page 1 Asymptotic Analysis 21 (1999) 99–115 99 IOS Press A uniqueness …

In this paper, we will prove the existence of infinitely many solutions for the following elliptic
problem with critical Sobolev growth and a Hardy potential:-Δ u-μ| x|^ 2 u=| u|^ 2^ ∗-2 u+ …

This paper concerns the existence of critical points for solutions to second order elliptic
equations of the form ∇ ⋅ σ (x) ∇ u= 0∇· σ (x)∇ u= 0 posed on a bounded domain X with …

This paper aims to establish counterparts of fundamental regularity statements for solutions
to elliptic equations in the setting of low-dimensional structures such as, for instance, glued …

Let u≢ const satisfy an elliptic equation L0u≡ EaijDiju+ ΣbjDju= 0 with smooth coefficients
in a domain in ℝ3. It is shown that the critical set|∇ u|− 1 {0} has locally finite 1-dimensional …