We consider a class of semilinear elliptic system of the form −∆u(x,y)+∇W(u(x,y))=0, (x,y)∈R2, where W : R2 → R is a double well non negative symmetric potential. We show, via variational methods, that if the set of solutions to the one dimensional system −q ̈(x) + ∇W(q(x)) = 0, x ∈ R, which connect the two minima of W as x → ±∞ has a discrete structure, then the system has infinitely many layered solutions
This paper presents a new family of solutions to the singularly perturbed Allen-Cahn equation α2Δu +...
Abstract In this paper we study the multiplicity of solutions of the quasilinear elliptic system −∆p...
AbstractWe seek multiple solutions to systems of semilinear elliptic equations of the type−ΔU(x)=∇H(...
We consider a class of semilinear elliptic system of the form −∆u(x,y)+∇W(u(x,y))=0, (x,y)∈R2, where...
We consider a class of semilinear elliptic system of the form $-\Delta u(x,y)+\nabla W(u(x,y))=0$ on...
We study the existence of solutions $u:\R^{3}\to\R^{2}$ for the semilinear elliptic systems \begin...
Abstract. We consider a class of non autonomous Allen-Cahn equations −∆u(x, y) + a(x)W ′(u(x, y)) =...
We consider a class of non autonomous Allen-Cahn equations \begin{equation} -\Delta u(x,y)+a(x)W'(u...
We consider a class of semilinear elliptic system of the form -Delta u(x,y)+ abla W(u(x,y))=0,quad ...
We consider a class of semilinear elliptic equations of the form \begin{equation}\label{eq:abs} -\D...
A semilinear elliptic system of PDEs with a nonlinear term of double well potential type is studied ...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...
Abstract. In this work we construct a family of entire bounded solution for the singulary perturbed ...
We consider a class of periodic Allen-Cahn equations \begin{equation}\tag{$1$} -\Delta u(x,y...
AbstractWe consider stationary solutions of a spatially inhomogeneous Allen–Cahn-type nonlinear diff...
This paper presents a new family of solutions to the singularly perturbed Allen-Cahn equation α2Δu +...
Abstract In this paper we study the multiplicity of solutions of the quasilinear elliptic system −∆p...
AbstractWe seek multiple solutions to systems of semilinear elliptic equations of the type−ΔU(x)=∇H(...
We consider a class of semilinear elliptic system of the form −∆u(x,y)+∇W(u(x,y))=0, (x,y)∈R2, where...
We consider a class of semilinear elliptic system of the form $-\Delta u(x,y)+\nabla W(u(x,y))=0$ on...
We study the existence of solutions $u:\R^{3}\to\R^{2}$ for the semilinear elliptic systems \begin...
Abstract. We consider a class of non autonomous Allen-Cahn equations −∆u(x, y) + a(x)W ′(u(x, y)) =...
We consider a class of non autonomous Allen-Cahn equations \begin{equation} -\Delta u(x,y)+a(x)W'(u...
We consider a class of semilinear elliptic system of the form -Delta u(x,y)+ abla W(u(x,y))=0,quad ...
We consider a class of semilinear elliptic equations of the form \begin{equation}\label{eq:abs} -\D...
A semilinear elliptic system of PDEs with a nonlinear term of double well potential type is studied ...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...
Abstract. In this work we construct a family of entire bounded solution for the singulary perturbed ...
We consider a class of periodic Allen-Cahn equations \begin{equation}\tag{$1$} -\Delta u(x,y...
AbstractWe consider stationary solutions of a spatially inhomogeneous Allen–Cahn-type nonlinear diff...
This paper presents a new family of solutions to the singularly perturbed Allen-Cahn equation α2Δu +...
Abstract In this paper we study the multiplicity of solutions of the quasilinear elliptic system −∆p...
AbstractWe seek multiple solutions to systems of semilinear elliptic equations of the type−ΔU(x)=∇H(...