We deal with a class of nonlinear elliptic Dirichlet problems with terms having supercritical
growth from the viewpoint of the Sobolev embedding. We prove that for every planar set Γ …

We investigate the regularity of the solutions of degenerate and/or singular elliptic
equations. We prove the continuity of G (∇ u) where u is a locally Lipschitz solution of div G …

In this paper we study the following boundary value problemwhere Ω is a bounded domain
in Rn, n≧ 3, x∈ Rn, p*= 2n/(n–2) is the critical exponent for the Sobolev embedding is a …

In two dimensions every solution to a nonlinear elliptic system has Hölder continuous first
derivatives provided that standard continuity, ellipticity and p-growth assumptions hold for …

In this paper, we are concerned with the nonlinear elliptic systems in divergence form under
controllable growth condition. We prove that the weak solution u is locally Hölder continuous …

Research Article Existence and Regularity of Solutions for Unbounded Elliptic Equations with
Singular Nonlinearities Page 1 Research Article Existence and Regularity of Solutions for …

Abstract Let p= 2 NN− 2, N≧ 3 be the limiting Sobolev exponent and Ω⊂ ℝ N open
bounded set. We show that for f∈ H− 1 satisfying a suitable condition and f≠ 0, the Dirichlet …

In this Note we consider a class of nonlinear second order elliptic systems in divergence
form and two independent variables. We prove that all Lipschitz continuous one …

We consider the boundary value problemwhere Ω⊂ ℝn is a bounded domain, n≧ 3, 2*=
2n/(n− 2) is the critical exponent for the Sobolev embedding and λ is a real positive …

We deals with nonlinear elliptic Dirichlet problems of the form $${\rm div}(| D u|^{p-2} D u)+ f
(u)= 0\quad\mbox {in}\Omega,\qquad u\in H^{1, p} _0 (\Omega) $$ where $\Omega $ is a …