3 papers
math.AP2026
Local minimizers in of vector Allen-Cahn with an -junction
Abhishek Adimurthi
For a domain that is a deformation of a unit ball in , we establish the existence of a sequence of local minimizers for the vector Allen-Cahn energy having …
math.AP2025
Local minimizers in d of vector Allen-Cahn with a quadruple junction
Abhishek Adimurthi, Peter Sternberg
For a perturbation of the unit ball in , we establish the existence of a sequence of local minimizers for the vector Allen-Cahn energy. The sequence converges in…
math.AP2023
A Note on contractive property of the solutions of the scalar conservation laws through the method by Lax-Ole\uınik
Abhishek Adimurthi
In this note, we study the contractive property of the solutions the scalar conservation laws, got by the method of Lax-{O}le\uınik. First, it is proved when f is merely conv…