B. Güneysu

activity

20112024

most citedNonrelativistic hydrogen type stability problems on nonparabolic 3-manifolds

13 citations · 41 across the 20 of their papers we have counts for

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4 papers · 1 filter

math.AP2023

A new notion of subharmonicity on locally smoothing spaces, and a conjecture by Braverman, Milatovic, Shubin

Batu Güneysu, Stefano Pigola, Peter Stollmann +1

Given a strongly local Dirichlet space and $λ \geq 0$ , we introduce a new notion of $λ$ --subharmonicity for $L^1_\loc$--functions, which we call \emph{local $λ$ --shift defectivity},…

math.AP2017★ 1 cited

$L^{p}$ -interpolation inequalities and global Sobolev regularity results (with an appendix by Ognjen Milatovic)

Batu Güneysu, Stefano Pigola

On any complete Riemannian manifold $M$ and for all $p \in [2, \infty)$ , we prove a family of second order $L^{p}$ -interpolation inequalities that arise from the following simple $L^…

math.AP2014★ 4 cited

$L^{1}$ -elliptic regularity and $H = W$ on the whole $L^{p}$ -scale on arbitrary manifolds

Davide Guidetti, Batu Güneysu, Diego Pallara

We define abstract Sobolev type spaces on $L^{p}$ -scales, $p \in [1, \infty)$ , on Hermitian vector bundles over possibly noncompact manifolds, which are induced by smooth meas…

math.AP2013★ 8 cited

The Profinite Dimensional Manifold Structure of Formal Solution Spaces of Formally Integrable PDEs

Batu Güneysu, Markus J. Pflaum

In this paper, we study the formal solution space of a nonlinear PDE in a fiber bundle. To this end, we start with foundational material and introduce the notion of a pfd structure…

A new notion of subharmonicity on locally smoothing spaces, and a conjecture by Braverman, Milatovic, Shubin

Lp-interpolation inequalities and global Sobolev regularity results (with an appendix by Ognjen Milatovic)

L1-elliptic regularity and H=W on the whole Lp-scale on arbitrary manifolds

The Profinite Dimensional Manifold Structure of Formal Solution Spaces of Formally Integrable PDEs

$L^{p}$ -interpolation inequalities and global Sobolev regularity results (with an appendix by Ognjen Milatovic)

$L^{1}$ -elliptic regularity and $H = W$ on the whole $L^{p}$ -scale on arbitrary manifolds