Select Publications
Journal articles
2018, 'Partial regularity of minimizers of functionals with discontinuous coefficients of low integrability with applications to nonlinear elliptic systems', Communications in Partial Differential Equations, 43, pp. 1599 - 1626, http://dx.doi.org/10.1080/03605302.2018.1517794
,2018, 'Radially symmetric solutions of elliptic PDEs with uniformly negative weight', Annali di Matematica Pura ed Applicata, 197, pp. 1585 - 1611, http://dx.doi.org/10.1007/s10231-018-0738-8
,2018, 'Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order', Positivity, 22, pp. 551 - 573, http://dx.doi.org/10.1007/s11117-017-0527-4
,2018, 'Perturbed Integral Operator Equations of Volterra Type with Applications to p -Laplacian Equations', Mediterranean Journal of Mathematics, 15, http://dx.doi.org/10.1007/s00009-018-1090-3
,2018, 'A uniformly sharp monotonicity result for discrete fractional sequential differences', Archiv der Mathematik, 110, pp. 145 - 154, http://dx.doi.org/10.1007/s00013-017-1106-4
,2018, 'New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green's function', Journal of Differential Equations, 264, pp. 236 - 262, http://dx.doi.org/10.1016/j.jde.2017.09.011
,2017, 'The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems', Journal of Fixed Point Theory and Applications, 19, pp. 2629 - 2646, http://dx.doi.org/10.1007/s11784-017-0448-7
,2017, 'Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions', Journal of Differential Equations, 263, pp. 4400 - 4428, http://dx.doi.org/10.1016/j.jde.2017.05.017
,2017, 'A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs', Journal of Fixed Point Theory and Applications, 19, pp. 1905 - 1938, http://dx.doi.org/10.1007/s11784-016-0340-x
,2017, 'Monotonicity results for delta fractional differences revisited', Mathematica Slovaca, 67, pp. 895 - 906, http://dx.doi.org/10.1515/ms-2017-0018
,2017, 'New monotonicity conditions in discrete fractional calculus with applications to extremality conditions', Analysis (Germany), 37, pp. 145 - 156, http://dx.doi.org/10.1515/anly-2016-0039
,2017, 'On Semipositone Non-Local Boundary-Value Problems with Nonlinear or Affine Boundary Conditions', Proceedings of the Edinburgh Mathematical Society, 60, pp. 635 - 649, http://dx.doi.org/10.1017/S0013091516000146
,2017, 'An almost sharp monotonicity result for discrete sequential fractional delta differences', Journal of Difference Equations and Applications, 23, pp. 1190 - 1203, http://dx.doi.org/10.1080/10236198.2017.1307351
,2017, 'Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions', Applied Mathematics Letters, 67, pp. 7 - 15, http://dx.doi.org/10.1016/j.aml.2016.11.011
,2017, 'Coercive nonlocal elements in fractional differential equations', Positivity, 21, pp. 377 - 394, http://dx.doi.org/10.1007/s11117-016-0427-z
,2017, 'A sharp convexity result for sequential fractional delta differences', Journal of Difference Equations and Applications, 23, pp. 1986 - 2003, http://dx.doi.org/10.1080/10236198.2017.1380635
,2017, 'The relation between nabla fractional differences and Nabla integer differences', Filomat, 31, pp. 1741 - 1753, http://dx.doi.org/10.2298/FIL1706741B
,2016, 'Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions', Advances in Difference Equations, 2016, pp. 1 - 31, http://dx.doi.org/10.1186/s13662-016-0760-3
,2016, 'On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds', Annali di Matematica Pura ed Applicata, 195, pp. 1405 - 1461, http://dx.doi.org/10.1007/s10231-015-0521-z
,2016, 'A note on perturbed Hammerstein equations with applications to nonlocal boundary value problems', Analysis (Germany), 36, pp. 183 - 193, http://dx.doi.org/10.1515/anly-2015-0030
,2016, 'Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs', Journal of Difference Equations and Applications, 22, pp. 623 - 636, http://dx.doi.org/10.1080/10236198.2015.1125896
,2016, 'A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference', Mathematical Inequalities and Applications, 19, pp. 769 - 779, http://dx.doi.org/10.7153/mia-19-57
,2016, 'Perturbed hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic pdes', Journal of Integral Equations and Applications, 28, pp. 509 - 549, http://dx.doi.org/10.1216/JIE-2016-28-4-509
,2016, 'Summation equations with sign changing kernels and applications to discrete fractional boundary value problems', Commentationes Mathematicae Universitatis Carolinae, 57, pp. 201 - 229, http://dx.doi.org/10.14712/1213-7243.2015.164
,2016, 'The relationship between sequential fractional differences and convexity', Applicable Analysis and Discrete Mathematics, 10, pp. 345 - 365, http://dx.doi.org/10.2298/AADM161005025G
,2015, 'Erratum to: A monotonicity result for discrete fractional difference operators[Arch. Math.(2014), 102, 293-299, DOI 10.1007/s00013-014-0620-x]', Archiv der Mathematik, 104, pp. 599 - 600, http://dx.doi.org/10.1007/s00013-015-0771-4
,2015, 'Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions', Journal of Difference Equations and Applications, 21, pp. 437 - 453, http://dx.doi.org/10.1080/10236198.2015.1013537
,2015, 'On positive solutions to fractional difference inclusions', Analysis (Germany), 35, pp. 73 - 83, http://dx.doi.org/10.1515/anly-2012-1281
,2015, 'Coupled systems of boundary value problems with nonlocal boundary conditions', Applied Mathematics Letters, 41, pp. 17 - 22, http://dx.doi.org/10.1016/j.aml.2014.10.010
,2015, 'Partial hölder continuity of minimizers of functionals satisfying a general asymptotic relatedness condition', Journal of Convex Analysis, 22, pp. 219 - 246
,2015, 'Partial Hölder continuity of minimizers of functionals satisfying a VMO condition', Advances in Calculus of Variations, 2015, pp. 83 - 110, http://dx.doi.org/10.1515/acv-2015-0013
,2015, 'Semipositone boundary value problems with nonlocal, nonlinear boundary conditions', Advances in Differential Equations, 20, pp. 117 - 142
,2014, 'On Nonlinear Boundary Conditions Involving Decomposable Linear Functionals', Proceedings of the Edinburgh Mathematical Society, 58, pp. 421 - 439, http://dx.doi.org/10.1017/S0013091514000108
,2014, 'Systems of semipositone discrete fractional boundary value problems', Journal of Difference Equations and Applications, 20, pp. 473 - 491, http://dx.doi.org/10.1080/10236198.2013.856073
,2014, 'A convexity result for fractional differences', Applied Mathematics Letters, 35, pp. 58 - 62, http://dx.doi.org/10.1016/j.aml.2014.04.013
,2014, 'A monotonicity result for discrete fractional difference operators', Archiv der Mathematik, 102, pp. 293 - 299, http://dx.doi.org/10.1007/s00013-014-0620-x
,2014, 'A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions', Archiv der Mathematik, 103, pp. 177 - 187, http://dx.doi.org/10.1007/s00013-014-0678-5
,2014, 'On a first-order semipositone boundary value problem on a time scale', Applicable Analysis and Discrete Mathematics, 8, pp. 269 - 287, http://dx.doi.org/10.2298/AADM140812013G
,2013, 'Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale', Commentationes Mathematicae Universitatis Carolinae, 54, pp. 509 - 525
,2013, 'On semipositone discrete fractional boundary value problems with non-local boundary conditions', Journal of Difference Equations and Applications, 19, pp. 1758 - 1780, http://dx.doi.org/10.1080/10236198.2013.775259
,2013, 'Positive solutions to differential inclusions with nonlocal, nonlinear boundary conditions', Applied Mathematics and Computation, 219, pp. 11071 - 11081, http://dx.doi.org/10.1016/j.amc.2013.05.022
,2013, 'On a Nonlocal BVP with Nonlinear Boundary Conditions', Results in Mathematics, 63, pp. 1351 - 1364, http://dx.doi.org/10.1007/s00025-012-0272-8
,2013, 'On nonlinear boundary conditions satisfying certain asymptotic behavior', Nonlinear Analysis, Theory, Methods and Applications, 76, pp. 58 - 67, http://dx.doi.org/10.1016/j.na.2012.07.023
,2012, 'On a first-order semipositone discrete fractional boundary value problem', Archiv der Mathematik, 99, pp. 509 - 518, http://dx.doi.org/10.1007/s00013-012-0463-2
,2012, 'Positive solution for a discrete fractional periodic boundary value problem', Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 19, pp. 545 - 557
,2012, 'Nonlocal systems of bvps with asymptotically sublinear boundary conditions', Applicable Analysis and Discrete Mathematics, 6, pp. 174 - 193, http://dx.doi.org/10.2298/AADM120329010G
,2012, 'On a fractional boundary value problem with fractional boundary conditions', Applied Mathematics Letters, 25, pp. 1101 - 1105, http://dx.doi.org/10.1016/j.aml.2011.11.028
,2012, 'On nonlocal BVPs with nonlinear boundary conditions with asymptotically sublinear or superlinear growth', Mathematische Nachrichten, 285, pp. 1404 - 1421, http://dx.doi.org/10.1002/mana.201100210
,2012, 'Nonlocal systems of BVPs with asymptotically superlinear boundary conditions', Commentationes Mathematicae Universitatis Carolinae, 53, pp. 79 - 97
,2012, 'On discrete fractional boundary value problems with nonlocal, nonlinear boundary conditions', Communications in Applied Analysis, 16, pp. 459 - 470
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