Add to ORKGAn elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a nontrivial solution is proven via variational methods. The domain of the equation is unbounded, which imposes a lack of compactness on the variational problem. In addition, a popular monotonicity condition on the nonlinearity is not assumed. In an earlier paper with this assumption, a solution was obtained using a simple application of topological (Brouwer) degree. Here, a more subtle degree theory argument must be used. © EDP Sciences, SMAI 2006
This work deals with the uniqueness of positive solution for an elliptic equation whose nonlinearity...
summary:We discuss regularity results concerning local minimizers $u: \mathbb R^n\supset \Omega\righ...
In this paper we study the monotonicity of positive (or nonnegative) viscosity solutions to uniforml...
An elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a non...
An elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a n...
A class of semilinear elliptic equations with dependence on the gradient is considered. The existenc...
AbstractIn this paper we study nonlinear elliptic differential equations driven by the p-Laplacian w...
A nonlinear elliptic system involving the p-Laplacian is considered in the whole RN: Existence of no...
AbstractIn this paper we study the monotonicity of positive (or non-negative) viscosity solutions to...
The paper sets forth a new type of variational problem without any ellipticity or monotonicity condi...
AbstractIn connection with the maximizing problem for the functional R(u) = ∥u∥Lq∥▽u∥Lp in W01,p(Ω)β...
2000 Mathematics Subject Classification: 35J40, 49J52, 49J40, 46E30By means of a suitable nonsmooth ...
Abstract In this paper we study semilinear variational inequalities driven by an ell...
AbstractThis work deals with the uniqueness of positive solution for an elliptic equation whose nonl...
AbstractSuperlinear elliptic boundary value problems without Ambrosetti and Rabinowitz growth condit...
This work deals with the uniqueness of positive solution for an elliptic equation whose nonlinearity...
summary:We discuss regularity results concerning local minimizers $u: \mathbb R^n\supset \Omega\righ...
In this paper we study the monotonicity of positive (or nonnegative) viscosity solutions to uniforml...
An elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a non...
An elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a n...
A class of semilinear elliptic equations with dependence on the gradient is considered. The existenc...
AbstractIn this paper we study nonlinear elliptic differential equations driven by the p-Laplacian w...
A nonlinear elliptic system involving the p-Laplacian is considered in the whole RN: Existence of no...
AbstractIn this paper we study the monotonicity of positive (or non-negative) viscosity solutions to...
The paper sets forth a new type of variational problem without any ellipticity or monotonicity condi...
AbstractIn connection with the maximizing problem for the functional R(u) = ∥u∥Lq∥▽u∥Lp in W01,p(Ω)β...
2000 Mathematics Subject Classification: 35J40, 49J52, 49J40, 46E30By means of a suitable nonsmooth ...
Abstract In this paper we study semilinear variational inequalities driven by an ell...
AbstractThis work deals with the uniqueness of positive solution for an elliptic equation whose nonl...
AbstractSuperlinear elliptic boundary value problems without Ambrosetti and Rabinowitz growth condit...
This work deals with the uniqueness of positive solution for an elliptic equation whose nonlinearity...
summary:We discuss regularity results concerning local minimizers $u: \mathbb R^n\supset \Omega\righ...
In this paper we study the monotonicity of positive (or nonnegative) viscosity solutions to uniforml...