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Darko Žubrinić
Selected articles:
- (with L. Korkut and M. Pašić)
Control of essential infimum and supremum of solutions of
quasilinear elliptic equations. C. R. Acad. Sci. Paris 329
(1999), pp. 269-274.
-
Generating singularities of solutions of quasilinear elliptic
equations. J. Math. Anal. Appl. 244 (2000), pp. 10-16.
- (with L. Korkut and M. Pašić)
A singular ODE related to quasilinear elliptic equations.
Electron J. Diff. Eqns,
Vol. 2000(2000), No. 12, pp. 1-37.
-
Positive solutions of quasilinear elliptic systems with strong dependence on the gradient.
Acta Math. Univ. Comenianae, LXIX, 2(2000), pp. 183-198.
- (with L. Korkut and M. Pašić)
Some qualitative properties of solutions of quasilinear elliptic equations and
applications.
J. Differential Equations, 170 (2001), pp. 247-280.
-
Singular sets of Sobolev functions. C.R. Acad. Sci. Paris,
Ser. I 334 (2002), pp. 539-544.
-
Some qualitative properties of solutions of quasilinear elliptic
systems.
Nonlinear Analysis, Volume 49, Issue 4, May 2002, pp. 501-512.
-
Nonexistence of solutions for quasilinear elliptic equations with
p-growth in the gradient.
Electron J. Diff. Eqns,
Vol. 2002(2002),
No. 54, pp. 1-8.
- (with L. Korkut and M. Pašić)
A class of nonlinear elliptic variational inequalities:
qualitative properties and existence of solutions.
Electron J. Diff. Eqns,
Vol.
2002(2002), No. 14, pp. 1-14.
-
Minkowski content and singular integrals.
Chaos, Solitons and Fractals,
vol 17/1 (2003), pp. 169-177.
-
Generating
singularities of solutions
of quasilinear elliptic equations
using Wolff's potential, Czechoslovak Mathematical Journal,
Vol. 53, No. 2 (2003), pp. 429-435.
- Singular
sets of Lebesgue integrable functions,
Chaos, Solitons and Fractals, 21 (2004) 1281-1287; errata
- On extended singular set of potentials, [PDF],
(October 2003), Math. Inequal. Appl., 8 (2005), no. 2, 173--177.
- Analysis of Minkowski contents of fractal sets and
applications, [PDF], Real Analysis Exchange, Vol 31(2),
2005/2006, 315-354
- (with Lana Horvat)
Maximally singular Sobolev
functions,
J. Math. Anal. Appl., Vol. 304 (2005), 531-541
- (with Vesna Županović)
Fractal analysis of spiral
trajectories of some planar vector fields, Bulletin des sciences
mathématiques, 129 (2005), 457-485
- (with Vesna Županović) Fractal
analysis
of spiral trajectories
of some vector fields in R^3, Comptes Rendus Mathematique, Acad. Sci. Paris,
Vol. 342, 12 ( 2006), 959-963
- (with Lana Horvat, Jadranka Kraljević, Vesna Županović) Positive solutions
of polyharmonic equations with strong
dependence on the gradient, Complex
Variables and Elliptic Equations, Vol 52, 8 ( 2007) , 693-707
- (with Vesna Županović) Box
dimensions of spiral trajectories
of some vector fields in R^3, Qualitative Theory of Dynamical Systems, 6 (2007.)
, 2; 203-222
- Maximally singular functions in Besov spaces, [PDF],
Archiv der Mathematik (Basel), 87 (2006), 154-162
- Generating singularities of solutions of $p$-Laplace equations on fractal
sets, [PDF], Rocky Mountain Journal of Mathematics.
39 (2009) , 1; 359-366
- Hausdorff dimension of singular sets of
Sobolev functions and applications, [PDF], in
Proceedings of the 5th ISAAC Conference -- 2005, University of Catania,
World Scientific, to appear.
- (with Vesna Županović)
Fractal dimensions in dynamics, in Encyclopedia
of Mathematical Physics,
Jean-Pierre Francoise, Greg Naber, Sheung Tsun Tsou (editors),
Elsevier Academic
Press, 2006.
- (with Neven Elezović and Vesna Županović) Box
dimension of trajectories of some discrete dynamical systems, Chaos,
Solitons & Fractals. 34 (2007) , 2; 244-252
- (with Vesna Županović) Recent results on fractal analysis of trajectories
of some dynamical systems, Proceedings of Conference in Functional Analysis IX
in Dubrovnik 2005, Aarhus 48, pp. 141-160.
- Singular dimension of spaces of real functions, Le Matematiche. LXII (2007)
; 345-353
- (with Vesna Županović) Poincaré map in fractal analysis of
spiral trajectories of planar vector fileds, Bull. Belg. Math. Soc.
Simon Stevin Volume 15, Number 5 (2008), 947-960.
- (with Mervan Pašić and Vesna Zupanovic) Oscillatory
and phase dimensions of solutions of some second-order differential
equations, Bulletin des
sciences mathématiques, to appear in 2009
- (with Luka Korkut and Vesna Županović) Box dimension and Minkowski
content of the clothoid, preprint.
- (with Luka Korku, Domagoj Vlah and Vesna Županović)
Generalized
Fresnel integrals and fractal properties of related spirals.
Applied Mathematics and Computation. 206 (2008) , 1; 236-244
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