[jevnikar]

Associate Professor, University of Udine

**Email:** *aleks.jevnikar AT uniud.it*

**Home-page:** https://sites.google.com/site/ajevnika/

- D. Bartolucci - A. Jevnikar - J. Jin - C. S. Lin - S. Liu (Accepted Paper:
*J. Math. Anal. Appl.*)

Non-degeneracy and uniqueness of solutions to general singular Toda systems on bounded domains (2023) - D. Bartolucci - Y. Hu - A. Jevnikar - W. Yang (Accepted Paper:
*Adv. Nonlinear Stud.*)

Generic properties of the Rabinowitz continuum (2023) - A. Jevnikar - R. Wu (Accepted Paper:
*Ann. Glob. Anal. Geom.*)

Existence results for a super Toda system (2023) - D. Bartolucci - P. Cosentino - A. Jevnikar - C. S. Lin (Preprint)

On the first eigenvalue of Liouville-type problems (2023) - D. Bartolucci - A. Jevnikar - R. Wu (Accepted Paper:
*Commun. Pure Appl. Anal.*)

A Courant nodal domain theorem for linearized mean field type equations (2023) - A. Jevnikar - J. Wang - W. Yang (Accepted Paper:
*Z. Angew. Math. Phys.*)

Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems (2023) - D. Bartolucci - A. Jevnikar - R. Wu (Accepted Paper:
*Differential and Integral Equations*)

On the global bifurcation diagram of the equation $-\Delta u=\mu|x|^{2\alpha}e^u$ in dimension two (2023) - D. Bartolucci - A. Jevnikar (Accepted Paper:
*J. Diff. Eq.*)

On the uniqueness and monotonicity of solutions of free boundary problems (2022) - A. Jevnikar - Y. Sire - W. Yang (Preprint)

Prescribing $Q$-curvature on even-dimensional manifolds with conical singularities (2022) - W. Ao - A. Jevnikar - W. Yang (Accepted Paper:
*Calc. Var. and PDEs*)

Blow up solutions for Sinh-Gordon equation with residual mass (2022) - L. Battaglia - A. Jevnikar - Z. A. Wang - W. Yang (Accepted Paper:
*Ann. Mat. Pura Appl.*)

Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary (2022) - A. Jevnikar - A. Malchiodi - R. Wu (Accepted Paper:
*J. Diff. Eq.*)

Min-max solutions for super sinh-Gordon equations on compact surfaces (2021) - A. Jevnikar - R. Lopez-Soriano - M. Medina - D. Ruiz (Accepted Paper:
*Anal. PDE*)

Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures (2021) - D. Bartolucci - A. Jevnikar (Accepted Paper:
*Proc. Amer. Math. Soc.*)

New universal estimates for free boundary problems arising in plasma physics (2021) - D. Bartolucci - Y. Hu - A. Jevnikar - W. Yang (Accepted Paper:
*Nonlinearity*)

Generic properties of free boundary problems in plasma physics (2021) - Y. Hu - A. Jevnikar - W. Xie (Accepted Paper:
*Commun. Contemp. Math.*)

Infinitely many solutions for Schrödinger-Newton equations (2021) - A. Jevnikar - A. Malchiodi - R. Wu (Accepted Paper:
*Trans. Amer. Math. Soc.*)

Existence results for a super-Liouville equation on compact surfaces (2020) - D. Bartolucci - A. Jevnikar (Accepted Paper:
*Anal. PDE*)

On the global bifurcation diagram of the Gel'fand problem (2020) - A. Jevnikar - A. Malchiodi - R. Wu (Accepted Paper:
*J. Math. Study*)

Existence results for super-Liouville equations on the sphere via bifurcation theory (2020) - W. Ao - A. Jevnikar - W. Yang (Accepted Paper:
*Ann. Mat Pura Appl.*)

Wave equations associated to Liouville-type problems: global existence in time and blow up criteria (2020) - D. Bartolucci - C. Gui - Y. Hu - A. Jevnikar - W. Yang (Accepted Paper:
*Discrete Contin. Dyn. Syst.*)

Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions (2019) - D. Bartolucci - A. Jevnikar - Y. Lee - W. Yang (Accepted Paper:
*J. Diff. Eq.*)

Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data (2019) - D. Bartolucci - A. Jevnikar - C. S. Lin (Accepted Paper:
*J. Diff. Eq.*)

Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains (2018) - D. Bartolucci - C. Gui - A. Jevnikar - A. Moradifam (Accepted Paper:
*Math. Ann.*)

A singular Sphere Covering Inequality: uniqueness and symmetry of solutions to singular Liouville-type equations (2018) - D. Bartolucci - A. Jevnikar - Y. Lee - W. Yang (Accepted Paper:
*Comm. PDEs*)

Local uniqueness of $m$-bubbling sequences for the Gel'fand equation (2018) - C. Gui - A. Jevnikar - A. Moradifam (Comm. PDEs)

Symmetry and uniqueness of solutions to some Liouville-type equations and systems (2017) - D. Bartolucci - A. Jevnikar - Y. Lee - W. Yang (Accepted Paper:
*Arch. Rat. Mech. Anal.*)

Non degeneracy, Mean Field Equations and the Onsager theory of 2D turbulence (2017) - A. Jevnikar (Accepted Paper:
*J. Diff. Eq.*)

Blow-up analysis and existence results in the supercritical case for an asymmetric mean field equation with variable intensities (2017) - D. Bartolucci - A. Jevnikar - Y. Lee - W. Yang (Accepted Paper:
*J. Math. Pures Appl.*)

Uniqueness of bubbling solutions of mean ﬁeld equations (2017) - W. Ao - A. Jevnikar - W. Yang (Accepted Paper:
*Intern. Math. Res. Not. (IMRN)*)

On the boundary behavior for the blow up solutions of the sinh-Gordon equation and rank $N$ Toda systems in bounded domains (2017) - A. Jevnikar - J. Wei - Y. Wen (Accepted Paper:
*Indiana Univ. Math. J.*)

On the Topological degree of the Mean field equation with two parameters (2016) - A. Jevnikar - J. Wei - W. Yang (Accepted Paper:
*Differential and Integral Equations*)

Classification of blow-up limits for the sinh-Gordon equation (2016) - A. Jevnikar - W. Yang (Accepted Paper:
*Calc. Var. and PDEs*)

Analytic aspects of the Tzitzéica equation: blow-up analysis and existence results (2016) - A. Jevnikar - W. Yang (Accepted Paper:
*Proc. Royal Soc. Edinburgh Sect. A*)

A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects (2016) - A. Jevnikar - S. Kallel - A. Malchiodi (Analysis and PDE)

A topological join construction and the Toda system on compact surfaces of arbitrary genus (2015) - A. Jevnikar (
*Proc. Royal Soc. Edinburgh A*)

An existence result for the mean-field equation on compact surfaces in a doubly supercritical regime (2015) - L. Battaglia - A. Jevnikar - A. Malchiodi - D. Ruiz (Adv. Math.)

A general existence result for the Toda system on compact surfaces (2015) - A. Jevnikar (Accepted Paper:
*Advanced Nonlinear Studies*)

A note on a multiplicity result for the mean field equation on compact surfaces (2015) - A. Jevnikar (Accepted Paper:
*Rend. Semin. Mat. Univ. Padova*)

New existence results for the mean field equation on compact surfaces via degree theory (2014)

*21 mar 2018:*Uniqueness of solutions to singular Liouville equations*25 oct 2017:*Liouville-type problems on compact surfaces: a variational approach

*29 nov 2021 - 3 dec 2021:*Winter school: "Analytical Methods in Quantum and Continuum Mechanics"*8 nov 2021 - 2 dec 2021:*An introduction to Liouville Equations with Applications*12 feb 2018 - 16 feb 2018:*Variational Methods in Analysis, Geometry and Physics