Piotr Stefaniak

collaborators

4 papers

math.AP2026

Global bifurcation of solutions to elliptic systems with system and domain symmetries

Piotr Stefaniak

We study parameterized elliptic systems on symmetric domains with additional system symmetries. We prove the existence of continua of nontrivial solutions bifurcating from the cons…

math.AP2026

Unbounded sets of solutions of non-cooperative elliptic systems on symmetric spaces

Piotr Stefaniak

The aim of this paper is to show that, for a class of non-cooperative elliptic systems on compact symmetric spaces, any continuum of nontrivial solutions bifurcating from the set o…

math.DS2025

Periodic solutions of autonomous $S^{1}$ -symmetric Newtonian systems

A. Golebiewska, S. Rybicki, P. Stefaniak

The aim of this paper is to formulate necessary conditions and sufficient ones for the existence of closed connected sets of nonstationary $2 I ¨ $ -periodic solutions of $S^{1}$ -symmet…

math.AP2025

Wavelet based solutions to the Poisson and the Helmholtz equations on the $n$ -dimensional unit sphere

Ilona Iglewska-Nowak, Piotr Stefaniak

We present a method of solving partial differential equations on the $n$ -dimensional unit sphere using methods based on the continuous wavelet transform derived from approximate id…

Global bifurcation of solutions to elliptic systems with system and domain symmetries

Unbounded sets of solutions of non-cooperative elliptic systems on symmetric spaces

Periodic solutions of autonomous S1-symmetric Newtonian systems

Wavelet based solutions to the Poisson and the Helmholtz equations on the n-dimensional unit sphere

Periodic solutions of autonomous $S^{1}$ -symmetric Newtonian systems

Wavelet based solutions to the Poisson and the Helmholtz equations on the $n$ -dimensional unit sphere