Let⊂ RN, N≥ 3 be bounded a domain with smooth boundary@. Depending on the
parameters a; b; c∈ R;; ÿ¿ 1; we shall investigate the existence and non-existence of …

We establish existence and sharp regularity results for solutions to singular elliptic equations
of the order u− β, 0< β< 1, with gradient dependence and involving a forcing term λ f (x, u) …

Existence and regularity results for weak solutions to (p,q)-elliptic systems in divergence form
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In this paper, we study the following Dirichlet problem with Sobolev critical exponent {-Δ u=|
u|^ 2^*-2 u+\displaystyle α 2^*| u|^ α-2| v|^ β u, &\quad x ∈ Ω,\-Δ v=| v|^ 2^*-2 v+\displaystyle …

In this paper, we consider the following nonlinear elliptic equation with Dirichlet boundary
condition: $-\Delta u= K (x) u^{\frac {n+ 2}{n-2}},\, u> 0$ in $\Omega,\, u= 0$ on …

Existence of solutions for elliptic systems with critical Sobolev exponent ∗ Page 1 \noindent
Electronic Journal of Differential Equations , Vol . 2002 ( 2002 ) , No . 49 , pp . 1 −− 1 3 . \noindent …

We consider nonlinear elliptic equations of the form− Δ u= g (u) in Ω, u= 0 on∂ Ω, and
Hamiltonian-type systems of the form− Δ u= g (v) in Ω,− Δ v= f (u) in Ω, u= 0 and v= 0 on∂ Ω …

We study the existence of minimizing solutions for an elliptic equation involving critical
Sobolev exponent on domains of the three-dimensional Euclidean space. We solve in …

We establish partial regularity for vector-valued solutions to inhomogeneous elliptic systems
in divergence form where the coefficients are possibly discontinuous with respect to $ x …

Calculus of Variations Page 1 DOI (Digital Object Identifier) 10.1007/s005260100100 Calc. Var.
14, 275–317 (2002) Calculus of Variations Adimurthi · G. Mancini · K. Sandeep A sharp …