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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