3 papers
math.AP2025
Normalised solutions for -Laplacian equations with -supercritical growth
Raj Narayan Dhara, Matteo Rizzi
For and , we find normalised solutions to the equation \begin{align*} -Δ_p u+(1+V(x))|u|^{p-2}u+λu&=|u|^{q-2}u\qquad\text{in }\\ \|u\|_2&=ρ\end{align*…
math.CA2021
Dynamical system related to primal-dual splitting projection methods
Ewa M. Bednarczuk, Raj Narayan Dhara, Krzysztof E. Rutkowski
We introduce a dynamical system to the problem of finding zeros of the sum of two maximally monotone operators. We investigate the existence, uniqueness and extendability of soluti…
math.AP2018
Waves of maximal height for a class of nonlocal equations with homogeneous symbols
Gabriele Bruell, Raj Narayan Dhara
We discuss the existence and regularity of periodic traveling-wave solutions of a class of nonlocal equations with homogeneous symbol of order , where . Based on the prope…