Add to ORKGI will consider a system of two coupled Liouville equations on the plane. The system admits so-called scalar solutions, namely such that the two components coincide. These solutions actually solve a scalar Liouville equation on the plane, hence they are very well known and they have been completely classified. On the other hand, much less is known about non-scalar solutions. Using bifurcation theory, I will show the existence of some branches of (non-scalar) solutions bifurcating from a scalar solution.Non UBCUnreviewedAuthor affiliation: Roma La SapienzaPostdoctora
We study asymptotically positively homogeneous first order systems in the plane, with boundary condi...
AbstractThis paper deals with the coupled Sturm-Liouville system − (pu′)′ + Pu + rv = λ1u + λ1N11(u,...
AbstractA class of nonlinear Sturm-Liouville problems is considered. These problems admit zero as a ...
I will consider a system of two coupled Liouville equations on the plane. The system admits so-calle...
We consider the following system of Liouville equations: âÎu1=2eu1+μeu2in R2âÎu2=μeu1+2eu2in R2â«R...
We consider the following system of Liouville equations: âÎu1=2eu1+μeu2in R2âÎu2=μeu1+2eu2in R2â«R...
We consider the following system of Liouville equations: $$\l\{\bll-\D u_1=2e^{u_1}+\mu e^{u_2}&\tx...
[[abstract]]This note gives a brief survey of existence, uniqueness and bifurcation results for nonl...
In a previous paper we introduced various definitions of stability and instability for non-autonomou...
Liouville equations have been widely studied for more than a century. In particular, the interest in...
A global bifurcation theorem for the following nonlinear Sturm–Liouville problem is given Mo...
We study asymptotically positively homogeneous first order systems in the plane, with boundary condi...
We study asymptotically positively homogeneous first order systems in the plane, with boundary condi...
We study asymptotically positively homogeneous first order systems in the plane, with boundary condi...
We study qualitative properties of positive solutions of noncooperative, possibly nonvariational, el...
We study asymptotically positively homogeneous first order systems in the plane, with boundary condi...
AbstractThis paper deals with the coupled Sturm-Liouville system − (pu′)′ + Pu + rv = λ1u + λ1N11(u,...
AbstractA class of nonlinear Sturm-Liouville problems is considered. These problems admit zero as a ...
I will consider a system of two coupled Liouville equations on the plane. The system admits so-calle...
We consider the following system of Liouville equations: âÎu1=2eu1+μeu2in R2âÎu2=μeu1+2eu2in R2â«R...
We consider the following system of Liouville equations: âÎu1=2eu1+μeu2in R2âÎu2=μeu1+2eu2in R2â«R...
We consider the following system of Liouville equations: $$\l\{\bll-\D u_1=2e^{u_1}+\mu e^{u_2}&\tx...
[[abstract]]This note gives a brief survey of existence, uniqueness and bifurcation results for nonl...
In a previous paper we introduced various definitions of stability and instability for non-autonomou...
Liouville equations have been widely studied for more than a century. In particular, the interest in...
A global bifurcation theorem for the following nonlinear Sturm–Liouville problem is given Mo...
We study asymptotically positively homogeneous first order systems in the plane, with boundary condi...
We study asymptotically positively homogeneous first order systems in the plane, with boundary condi...
We study asymptotically positively homogeneous first order systems in the plane, with boundary condi...
We study qualitative properties of positive solutions of noncooperative, possibly nonvariational, el...
We study asymptotically positively homogeneous first order systems in the plane, with boundary condi...
AbstractThis paper deals with the coupled Sturm-Liouville system − (pu′)′ + Pu + rv = λ1u + λ1N11(u,...
AbstractA class of nonlinear Sturm-Liouville problems is considered. These problems admit zero as a ...