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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.AP2025
Wavelet based solutions to the Poisson and the Helmholtz equations on the -dimensional unit sphere
Ilona Iglewska-Nowak, Piotr Stefaniak
We present a method of solving partial differential equations on the -dimensional unit sphere using methods based on the continuous wavelet transform derived from approximate id…