Stable solutions are ubiquitous in differential equations. They represent meaningful
solutions from a physical point of view and appear in many applications, including …

< jats: title> Abstract</jats: title>< jats: p> We consider the following mean field equations:<
jats: disp-formula></jats: disp-formula> where< jats: italic> M</jats: italic> is a compact …

This chapter returns to the general W (x) and describes the fact that the varia-tional structure
F defined on Pλ and that of Jλ on V= dom (A 1/2) stated in Chapter 6 are equivalent up to …

We consider the boundary value problem Δu+ε^2k\left(x\right)e^u=0 in a bounded, smooth
domain Ω in R^2 with homogeneous Dirichlet boundary conditions. Here ε> 0, k (x) is a non …

Equations of the Ginzburg–Landau vortices have particular applications to a number of
problems in physics, including phase transition phenomena in superconductors, superfluids …

On the existence of blowing-up solutions for a mean field equation * *The first and second
authors are supported by MURST, Page 1 Ann. IH Poincaré – AN 22 (2005) 227–257 www.elsevier.com/locate/anihpc …

We construct a general type of multivortex solutions of the self-duality equations (the
Bogomol'nyi equations) of (2+ 1) dimensional relativistic Chern–Simons model with the non …

A classical problem for the two-dimensional Euler flow for an incompressible fluid confined
to a smooth domain is that of finding regular solutions with highly concentrated vorticities …

In this paper, we study the asymptotic behavior of solutions of the Dirichlet problem for the
Liouville equation¶¶ -Δu=λK(x)e^uΩK(x)e^u¶¶ on a bounded smooth domain Ω in the plane …

A classical problem in fluid dynamics concerns the interaction of multiple vortex rings
sharing a common axis of symmetry in an incompressible, inviscid three‐dimensional fluid …