R. Dhara

activity

20182025

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math.AP2025

Normalised solutions for $p$ -Laplacian equations with $L^{p}$ -supercritical growth

Raj Narayan Dhara, Matteo Rizzi

For $N \geq 3$ and $2 < p < N$ , 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 $R^{N}$ }\\ \|u\|_2&=ρ\end{align*…

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 $- r$ , where $r > 1$ . Based on the prope…

Normalised solutions for p-Laplacian equations with Lp-supercritical growth

Waves of maximal height for a class of nonlocal equations with homogeneous symbols

Normalised solutions for $p$ -Laplacian equations with $L^{p}$ -supercritical growth