K. Perera

collaborators

4 papers

math.AP2025

Nonlocal Dirichlet problems involving the Logarithmic $p$ -Laplacian

Rakesh Arora, Hichem Hajaiej, Kanishka Perera

In this work, we show the existence of an unbounded sequence of minimax eigenvalues for the logarithmic $p$ -Laplacian via the $Z_{2}$ -cohomological index of Fadell and Rabin…

math.AP2025

Critical p-biharmonic problems and applications to Hamiltonian systems

Kanishka Perera, Bruno Ribeiro

We study fourth-order quasilinear elliptic problems that involve the p-biharmonic operator and Navier boundary conditions. The nonlinear term grows at the critical Sobolev rate. St…

math.AP2025

Nonlocal critical elliptic equations in homogeneous fractional Sobolev spaces

Siegfried Carl, Kanishka Perera, Hossein Tehrani

We prove new multiplicity results for some nonlocal critical growth elliptic equations in homogeneous fractional Sobolev spaces. The proofs are based on an abstract critical point…

math.AP2025

Global $L^{\infty}$ and decay estimate for fractional $p$ -Laplacian equations in $D^{s, p} (R^{N})$

Siegfried Carl, Kanishka Perera, Hossein Tehrani

In this paper we present a new global $L^{\infty}$ -estimate for solutions $u \in D^{s, p} (R^{N})$ of the fractional $p$ -Laplacian equation % $$ u\in D^{s,p}(\R^N): (-Î_p)^s u=f(x,u) \q…

Nonlocal Dirichlet problems involving the Logarithmic p-Laplacian

Critical p-biharmonic problems and applications to Hamiltonian systems

Nonlocal critical elliptic equations in homogeneous fractional Sobolev spaces

Global L∞ and decay estimate for fractional p-Laplacian equations in Ds,p(RN)

Nonlocal Dirichlet problems involving the Logarithmic $p$ -Laplacian

Global $L^{\infty}$ and decay estimate for fractional $p$ -Laplacian equations in $D^{s, p} (R^{N})$