6 citations · 10 across the 7 of their papers we have counts for
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Global boundedness and normalized solutions to a -Laplacian equation
Raj Narayan Dhara, Matteo Rizzi
In the paper, we prove the existence of radial solutions to \begin{equation}\notag%\label{main-eq-abstarct} %\begin{aligned} -Δ_p u+({\rm sgn}(p-s)+V(x))|u|^{p-2}u+λ|u|^{s-2}u=|u|^…
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*…
Nonuniqueness for fractional parabolic equations with sublinear power-type nonlinearity
Jiří Benedikt, Vladimir Bobkov, Raj Narayan Dhara +1
We show that the parabolic equation posed in a time-space cylinder and coupled with zero initial condition and zero…
Large solutions of degenerate and/or singular quasilinear elliptic equations in a ball
Raj Narayan Dhara
We consider local weak large solutions with its blow-up rate near the boundary to certain class of degenerate and/or singular quasilinear elliptic equation\\ ${\rm div}(d^α(x,\part…
Existence of solutions of degenerate semilinear elliptic boundary value problems
Raj Narayan Dhara
We show an existence of a weak solution of a degenerate and/or singular semilinear elliptic boundary value (nonhomogeneous) problem lying between a given weak subsolution and a giv…
Nonradiality of second eigenfunctions of the fractional Laplacian in a ball
Jiří Benedikt, Vladimir Bobkov, Raj Narayan Dhara +1
Using symmetrization techniques, we show that, for every , any second eigenfunction of the fractional Laplacian in the -dimensional unit ball with homogeneous Dirichle…
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…