Add to ORKGFor n ≥ 5, we consider positive solutions u of the biharmonic equation Δ^2u = u^((n+4)/(n−4)) on R^n∖{0}, with a nonremovable singularity at the origin. We show that ∣∣x∣∣^((n−4)/2)u is a periodic function of ln|x| and we classify all periodic functions obtained in this way. This result is relevant for the description of the asymptotic behavior of local solutions near singularities and for the Q-curvature problem in conformal geometry
AbstractWe study the solutions of Δu = u ¦u¦q − 1, q > 1, that are singular at 0. We prove that ¦x¦2...
AbstractIn this paper, we study positive periodic solutions to the repulsive singular perturbations ...
Abstract We study the following semilinear biharmonic equation: ...
For n ≥ 5, we consider positive solutions u of the biharmonic equation Δ^2u = u^((n+4)/(n−4)) on R^n...
We consider positive solutions u of the semilinear biharmonic equation Δ²u = |x|−^(n+4)/2g(|x|^(n−4)...
We consider positive solutions u of the semilinear biharmonic equation Δ²u = |x|−^(n+4)/2g(|x|^(n−4)...
AbstractIn this paper, we study global positive C4 solutions of the geometrically interesting equati...
We construct positive solutions to the equation-Delta(Hn)u = u(Q+2/Q-2)on the Heisenberg group, sing...
We classify entire positive singular solutions to a family of critical sixth order equations in the ...
In this work we study the asymptotic behavior to positive solutions of the following coupled ellipti...
AbstractThis paper is devoted to the study of nonlinear singular and non-singular fourth order diffe...
In this work we study the asymptotic behavior to positive solutions of the following coupled ellipti...
AbstractWe study the behavior of positive radial solutions to−div(A(|∇u|) ∇u)=f(u)near an isolated s...
We investigate the existence, non-existence, multiplicity of positive periodic solutions, both harmo...
AbstractA multiplicity result of existence of periodic solutions with prescribed wavelength for a cl...
AbstractWe study the solutions of Δu = u ¦u¦q − 1, q > 1, that are singular at 0. We prove that ¦x¦2...
AbstractIn this paper, we study positive periodic solutions to the repulsive singular perturbations ...
Abstract We study the following semilinear biharmonic equation: ...
For n ≥ 5, we consider positive solutions u of the biharmonic equation Δ^2u = u^((n+4)/(n−4)) on R^n...
We consider positive solutions u of the semilinear biharmonic equation Δ²u = |x|−^(n+4)/2g(|x|^(n−4)...
We consider positive solutions u of the semilinear biharmonic equation Δ²u = |x|−^(n+4)/2g(|x|^(n−4)...
AbstractIn this paper, we study global positive C4 solutions of the geometrically interesting equati...
We construct positive solutions to the equation-Delta(Hn)u = u(Q+2/Q-2)on the Heisenberg group, sing...
We classify entire positive singular solutions to a family of critical sixth order equations in the ...
In this work we study the asymptotic behavior to positive solutions of the following coupled ellipti...
AbstractThis paper is devoted to the study of nonlinear singular and non-singular fourth order diffe...
In this work we study the asymptotic behavior to positive solutions of the following coupled ellipti...
AbstractWe study the behavior of positive radial solutions to−div(A(|∇u|) ∇u)=f(u)near an isolated s...
We investigate the existence, non-existence, multiplicity of positive periodic solutions, both harmo...
AbstractA multiplicity result of existence of periodic solutions with prescribed wavelength for a cl...
AbstractWe study the solutions of Δu = u ¦u¦q − 1, q > 1, that are singular at 0. We prove that ¦x¦2...
AbstractIn this paper, we study positive periodic solutions to the repulsive singular perturbations ...
Abstract We study the following semilinear biharmonic equation: ...