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Applicable Analysis
An International Journal
Volume 65, 1997 - Issue 3-4
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Original Articles

Boundedness of solutions of variational inequalities with nonlinear degenerated elliptic operators of high order

Alexander Kovalevsky Institute of Mathematics and Mechanics, Ukraine, 340114
&
Francesco Nicolosi Department of Mathematics, Institute of Mathematics and Mechanics, Catania, Italy, 95125
Pages 225-249 | Received 01 Dec 1996, Published online: 02 May 2007

Citations (28)

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Read on this site (6)

Heinrich Begehr, Robert Gilbert & Salvatore Leonardi. (2011) Professor Franco Nicolosi, a short mathematical biography. Complex Variables and Elliptic Equations 56:12, pages 1049-1052.
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S. Bonafede & F. Nicolosi. (2011) The local boundedness of solutions for a class of degenerate nonlinear elliptic higher order equations with data close enough to L 1 . Complex Variables and Elliptic Equations 56:12, pages 1055-1070.
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S. Bonafede & F. Nicolosi. (2010) Existence of bounded solutions for a system of degenerate nonlinear higher-order elliptic equations. Complex Variables and Elliptic Equations 55:5-6, pages 455-469.
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S. Bonafede & F. Nicolosi. (2010) The regularity of generalized solutions of degenerate nonlinear higher order elliptic systems. Applicable Analysis 89:3, pages 337-352.
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S. Bonafede & F. Nicolosi. (2008) The local boundedness of solutions for a class of degenerate nonlinear elliptic higher-order equations with 1-data. Complex Variables and Elliptic Equations 53:5, pages 445-461.
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Paolo Cianci. (2006) On the boundedness of solutions for degenerate nonlinear elliptic equations. Applicable Analysis 85:4, pages 429-437.
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Articles from other publishers (22)

Igor I. Skrypnik & Mykhailo V. Voitovych. (2020) On the generalized classes of De Giorgi-Ladyzhenskaya-Ural'tseva and pointwise estimates of solutions to high-order elliptic equations via Wolff potentials . Journal of Differential Equations 268:11, pages 6778-6820.
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Mykhailo VoitovychV.V.. (2019) Continuity of weak solutions to nonlinear fourth-order equations with strengthened ellipticity via Wolff potentials. Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine 33, pages 33-49.
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Mykhailo V. Voitovych. (2019) Pointwise estimates of solutions to -order quasilinear elliptic equations with - growth via Wolff potentials . Nonlinear Analysis 181, pages 147-179.
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S. Bonafede. (2018) On the boundedness of minimizers of some integral functionals with degenerate anisotropic integrands. Rocky Mountain Journal of Mathematics 48:6.
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Mykhailo V. Voitovych. (2018) Improved integrability and boundedness of solutions to some high-order variational problems. Journal of Mathematical Sciences 235:1, pages 81-102.
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Patrick Winkert. (2014) On the Boundedness of Solutions to Elliptic Variational Inequalities. Set-Valued and Variational Analysis 22:4, pages 763-781.
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Yuliya S. Gorban & Alexander A. Kovalevsky. (2013) On the Boundedness of Solutions of Degenerate Anisotropic Elliptic Variational Inequalities. Results in Mathematics 65:1-2, pages 121-142.
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Mikhail Z. Zgurovsky, Valery S. Mel'nik & Pavlo O. KasyanovMikhail Z. Zgurovsky, Valery S. Mel’nik & Pavlo O. Kasyanov. 2011. Evolution Inclusions and Variation Inequalities for Earth Data Processing I. Evolution Inclusions and Variation Inequalities for Earth Data Processing I 139 244 .
P.O. Kasyanov, V.S. Mel'nik & S. Toscano. (2010) Solutions of Cauchy and periodic problems for evolution inclusions with multi-valued -pseudomonotone maps . Journal of Differential Equations 249:6, pages 1258-1287.
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Paolo Cianci. (2010) Boundedness of solutions for anisotropic degenerate elliptic equations with nonstandard growth. Journal of Mathematical Analysis and Applications 364:2, pages 395-403.
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S. Bonafede. (2009) On a new class of systems of degenerate nonlinear elliptic higher-order equations. Nonlinear Analysis: Theory, Methods & Applications 71:12, pages e2267-e2275.
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Paolo Cianci & Francesco Nicolosi. (2009) A weighted interpolation inequality with variable exponent of the Nirenberg–Gagliardo kind. Nonlinear Analysis: Theory, Methods & Applications 71:12, pages 5915-5929.
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Paolo Cianci & Francesco Nicolosi. (2009) Boundedness of solutions for an elliptic equation with non-standard growth. Nonlinear Analysis: Theory, Methods & Applications 71:5-6, pages 1825-1832.
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O. A. Rudakova. (2009) On Γ-convergence of integral functionals defined on various weighted Sobolev spaces. Ukrainian Mathematical Journal 61:1, pages 121-139.
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S. D’Asero, V. Cataldo & F. Nicolosi. (2008) Regularity of minimizers of some integral functionals with degenerate integrands. Nonlinear Analysis: Theory, Methods & Applications 68:11, pages 3283-3293.
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Alexander A. Kovalevsky & Francesco Nicolosi. (2008) On the sets of -regularity of solutions for a class of degenerate nonlinear problems with slightly regular data. Nonlinear Analysis: Theory, Methods & Applications 68:10, pages 3175-3185.
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A. A. Kovalevsky & F. Nicolosi. (2008) On the sets of boundedness of solutions for a class of degenerate nonlinear elliptic fourth-order equations with L 1-data. Journal of Mathematical Sciences 150:5, pages 2358-2368.
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Alexander Kovalevsky & Francesco Nicolosi. (2005) Existence and regularity of solutions to a system of degenerate nonlinear fourth-order equations. Nonlinear Analysis: Theory, Methods & Applications 61:3, pages 281-307.
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Alexander Kovalevsky & Francesco Nicolosi. (2004) Solvability of Dirichlet problem for a class of degenerate anisotropic equations with -right-hand sides. Nonlinear Analysis: Theory, Methods & Applications 59:3, pages 347-370.
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Alexander Kovalevsky & Francesco Nicolosi. (2002) Entropy solutions of Dirichlet problem for a class of degenerate anisotropic fourth-order equations with L1-right-hand sides. Nonlinear Analysis: Theory, Methods & Applications 50:5, pages 581-619.
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Alexander Kovalevsky & Francesco Nicolosi. (2002) On the convergence of solutions of degenerate nonlinear elliptic high order equations. Nonlinear Analysis: Theory, Methods & Applications 49:3, pages 335-360.
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Alexander Kovalevsky & Francesco Nicolosi. (2000) On regularity up to the boundary of solutions to degenerate nonlinear elliptic high-order equations. Nonlinear Analysis: Theory, Methods & Applications 40:1-8, pages 365-379.
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