The papers of András Domokos.
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Regularity
results for p-harmonic functions in higher order Grusin
planes (joint work with J. J. Manfredi), Ann. Mat. Pura Appl. (4) 189 (2010), 1—16
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On the Regularity
of Nonlinear Subelliptic Equations, in the volume: Around the Research of Vladimir Maz'ya part II. Partial Differential
Equations, pp. 145-158, Springer (2010).
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Nonlinear subelliptic equations (joint work with J. J. Manfredi), Manuscripta Mathematica, 130 (2009), 251-271.
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A second order
differentiability technique of Bojarski-Iwaniec in
the Heisenberg group (joint work with J. J. Manfredi) , Funct. Approx. Comment. Math.
40 (2009), 69-74
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On the regularity
of subelliptic p-harmonic functions in Carnot groups,
Nonlinear Analysis: Theory, Methods & Applications, 69(2008),
1744-1756. (PDF file)
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On the best
constant for the Friedrichs-Knapp-Stein inequality
in free nilpotent Lie groups of step two
and applications to subelliptic PDE (joint work with
M.S. Fanciullo), The Journal of Geometric Analysis,
17(2007), 245-252. (PDF file)
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Weighted function
spaces of fractional derivatives for vector fields, Electron. J. Diff. Eqns.,
17(2007), pp. 1-8. (PDF file)
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Subelliptic Cordes estimates in the Gru\v{s}in plane, (joint work with G. Di Fazio, M.S. Fanciullo, J. J. Manfredi), Manuscripta Mathematica, 120
(2006), 419-433. (PDF file)
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$C^{1,\alpha}_{loc}$
regularity for subelliptic p-harmonic functions in Gru\v{s}in plane,
(joint work with G. Di Fazio, M.S. Fanciullo,
J. J. Manfredi),
Le Mathematiche, LX Fasc. II (2005), 469-473.
(PDF file)
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$W^{2,2}$ - estimates for
solutions to non-uniformly elliptic PDE's with measurable coefficients, Journal
of Inequalities in Pure and Applied Mathematics,
6 (3) 2005, Article 69. (PDF file)
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Cordes subelliptic
estimates, (joint work with Juan J. Manfredi), Proceedings of the American Mathematical
Society, 133(2005), 1047-1056. (PDF file)
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$C^{1,\alpha}$-regularity for p-harmonic functions in the Heisenberg
group for p near 2, (joint work with
Juan J. Manfredi),
Contemporary Mathematics,
370(2005), 17 – 23. (PDF file)
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Differentiability
of solutions for the non-degenerate p-Laplacian in
the Heisenberg group, Journal of
Differential Equations, 204(2004), 439-470. (PDF file)
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Remarks on some
equivalent conditions for nearness, Fixed Point Theory 4(2003), 213-221. (PDF file)
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Variational inequalities with operator solutions (with J. Kolumbán), Journal of Global
Optimization 23(2002), 99-110. (PDF file)
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Nearness, Accretivity and Solvability of Nonlinear Equations (with A.
Buica), Numerical Functional Analysis and
Optimization 23(2002), 477-493. (PDF file)
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Implicit Function
Theorems for m-Accretive and Locally-Accretive Set-Valued Mappings, Nonlinear
Analysis 41(2000), 221-241. (PDF file)
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Scalar and Vector
Variational Inequalities, Pure Mathematics and
Applications, 11(2000), 209-217. (PDF file)
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Comparision of two different types of pseudomonotone
mappings (with J. Kolumbán), in "Seminaire
de la theorie de la meilleure
approxomation, convexite et
optimisation" (E. Popoviciu
ed.), 2000, 95-103. (PDF file)
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Nonlinear
Functional Analysis, Lecture notes of a university course I gave at Babes-Bolyai University (in Hungarian, see
manuscript) 2000.
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Solution
Sensitivity of Variational Inequalities, Journal of
Mathematical Analysis and Applications, 230(1999), 382-389.
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Perturbation
Analysis of Monotone Generalized Equations, Studia Univ.
Babes-Bolyai, 44(1999), 3, 15-39.
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The Continuity of
the Metric Projection of a Fixed Point onto Moving Closed Convex Sets in
Uniformly-Convex Banach Spaces, Studia
Univ. Babes-Bolyai, 43(1998), 4, 25-30.
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On the Continuity
and Differentiability of the Implicit Functions, Studia
Univ. Babes-Bolyai, 43(1998), 2, 23-28.
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Note on an
Inverse Function Theorem of D. Aze, Mathematica,
40(1998), 4, 79-84.
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Parametric
Monotone Generalized Equations in Reflexive Banach
Spaces, Mathematica Pannonica,
8(1997), 129-136.
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Equivalence Between Implicit Function Theorems, Studia
Univ. Babes-Bolyai, 41(1996), 4, 41-46.
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Implicit Function
Theorems and Variational Inequalities, Studia Univ. Babes-Bolyai,
39(1994), 4, 29-36.
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Minimax Theorems, Annales
Univ. Sci. Budapest, 37(1994), 157-163.