Edit Profile (opens in new tab) Goodrich, Christopher S. Co-Author Distance Author ID: goodrich.christopher-s Published as: Goodrich, Christopher S.; Goodrich, Christopher; Goodrich, C. S. more...less External Links: MGP Documents Indexed: 114 Publications since 2010, including 1 Book Reviewing Activity: 81 Reviews Co-Authors: 30 Co-Authors with 42 Joint Publications 1,670 Co-Co-Authors all top 5 Co-Authors 72 single-authored 11 Dahal, Rajendra 6 Lyons, Benjamin 5 Peterson, Allan C. 4 Lizama, Carlos 4 Scapellato, Andrea 3 Erbe, Lynn Harry 3 Jonnalagadda, Jagan Mohan 2 Ali, Muhammad Aamir 2 Ferreira, Rui A. C. 2 Foss, Mikil D. 2 Hamed, Yasser S. 2 Jia, Baoguo 2 Mohammed, Pshtiwan Othman 2 Ragusa, Maria Alessandra 2 Velcsov, Mihaela T. 1 Anceschi, Francesca 1 Anderson, Douglas Robert 1 Băleanu, Dumitru I. 1 Baoguo, Jia 1 Brzo, Aram Bahroz 1 Budak, Hüseyin 1 Cui, Yujun 1 Drvol, Stanley 1 Eloe, Paul W. 1 Hamasalh, Faraidun Kadir 1 Kashuri, Artion 1 Muellner, Matthew 1 Scilla, Giovanni 1 Stroffolini, Bianca 1 Xu, Jiafa all top 5 Serials 14 Journal of Difference Equations and Applications 10 Applied Mathematics Letters 6 Analysis (München) 6 Journal of Fixed Point Theory and Applications 5 Archiv der Mathematik 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Differential Equations 4 Applicable Analysis and Discrete Mathematics 3 Computers & Mathematics with Applications 3 Mathematical Methods in the Applied Sciences 3 Commentationes Mathematicae Universitatis Carolinae 3 Proceedings of the American Mathematical Society. Series B 2 Journal of Mathematical Analysis and Applications 2 Rocky Mountain Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Mathematische Nachrichten 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Filomat 2 Positivity 2 Advanced Nonlinear Studies 1 Israel Journal of Mathematics 1 Studia Mathematica 1 Bulletin of the London Mathematical Society 1 Mathematica Slovaca 1 Results in Mathematics 1 Journal of Integral Equations and Applications 1 International Journal of Mathematics 1 Dynamic Systems and Applications 1 Communications in Partial Differential Equations 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Journal of Convex Analysis 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Communications in Applied Analysis 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Communications on Pure and Applied Analysis 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 International Journal of Difference Equations 1 Banach Journal of Mathematical Analysis 1 Advances in Calculus of Variations 1 International Journal of Dynamical Systems and Differential Equations 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Fields 58 Real functions (26-XX) 53 Difference and functional equations (39-XX) 48 Operator theory (47-XX) 47 Ordinary differential equations (34-XX) 15 Partial differential equations (35-XX) 14 Integral equations (45-XX) 9 Integral transforms, operational calculus (44-XX) 9 Functional analysis (46-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Numerical analysis (65-XX) 3 Special functions (33-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 109 Publications have been cited 2,500 times in 908 Documents Cited by ▼ Year ▼ Discrete fractional calculus. Zbl 1350.39001 Goodrich, Christopher; Peterson, Allan C. 330 2015 Existence of a positive solution to a class of fractional differential equations. Zbl 1204.34007 Goodrich, Christopher S. 172 2010 Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions. Zbl 1211.39002 Goodrich, Christopher S. 152 2011 On discrete sequential fractional boundary value problems. Zbl 1236.39008 Goodrich, Christopher S. 89 2012 Existence of a positive solution to systems of differential equations of fractional order. Zbl 1253.34012 Goodrich, Christopher S. 85 2011 Existence of a positive solution to a system of discrete fractional boundary value problems. Zbl 1215.39003 Goodrich, Christopher S. 78 2011 Continuity of solutions to discrete fractional initial value problems. Zbl 1197.39002 Goodrich, Christopher S. 78 2010 On a discrete fractional three-point boundary value problem. Zbl 1253.26010 Goodrich, Christopher S. 67 2012 A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. Zbl 1508.47080 Goodrich, Christopher; Lizama, Carlos 60 2020 A monotonicity result for discrete fractional difference operators. Zbl 1296.39016 Dahal, Rajendra; Goodrich, Christopher S. 51 2014 Positive solutions to boundary value problems with nonlinear boundary conditions. Zbl 1237.34153 Goodrich, Christopher S. 47 2012 A convexity result for fractional differences. Zbl 1314.26010 Goodrich, Christopher S. 42 2014 Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions. Zbl 1422.39027 Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan 41 2016 On nonlinear boundary conditions satisfying certain asymptotic behavior. Zbl 1264.34030 Goodrich, Christopher S. 39 2013 Systems of semipositone discrete fractional boundary value problems. Zbl 1319.39002 Dahal, Rajendra; Duncan, David; Goodrich, Christopher S. 34 2014 New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green’s function. Zbl 1379.35097 Goodrich, Christopher S. 34 2018 Coercive nonlocal elements in fractional differential equations. Zbl 1367.26017 Goodrich, Christopher S. 33 2017 On a fractional boundary value problem with fractional boundary conditions. Zbl 1266.39006 Goodrich, Christopher S. 32 2012 Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029 Goodrich, Christopher; Lizama, Carlos 32 2020 On semipositone discrete fractional boundary value problems with non-local boundary conditions. Zbl 1282.26008 Goodrich, Christopher S. 32 2013 On nonlocal BVPs with nonlinear boundary conditions with asymptotically sublinear or superlinear growth. Zbl 1252.34032 Goodrich, C. S. 30 2012 Radially symmetric solutions of elliptic PDEs with uniformly negative weight. Zbl 1412.35144 Goodrich, Christopher S. 30 2018 On a first-order semipositone discrete fractional boundary value problem. Zbl 1263.26016 Goodrich, Christopher S. 29 2012 A topological approach to nonlocal elliptic partial differential equations on an annulus. Zbl 1525.34047 Goodrich, Christopher S. 28 2021 Monotonicity results for delta fractional differences revisited. Zbl 1505.26016 Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan 25 2017 An almost sharp monotonicity result for discrete sequential fractional delta differences. Zbl 1385.39003 Dahal, Rajendra; Goodrich, Christopher S. 25 2017 A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference. Zbl 1337.26011 Goodrich, Christopher S. 25 2016 On nonlinear boundary conditions involving decomposable linear functionals. Zbl 1322.34038 Goodrich, Christopher S. 24 2015 On positive solutions to nonlocal fractional and integer-order difference equations. Zbl 1289.39008 Goodrich, Christopher 24 2011 Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities. Zbl 1417.39030 Xu, Jiafa; Goodrich, Christopher S.; Cui, Yujun 24 2019 Nonlocal systems of BVPs with asymptotically superlinear boundary conditions. Zbl 1249.34054 Goodrich, Christopher S. 22 2012 Some new existence results for fractional difference equations. Zbl 1215.39004 Goodrich, Christopher S. 21 2011 A uniformly sharp monotonicity result for discrete fractional sequential differences. Zbl 1384.39011 Goodrich, Christopher S. 20 2018 Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions. Zbl 1320.39001 Goodrich, Christopher S. 19 2015 Semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1318.34034 Goodrich, Christopher S. 19 2015 Nonlocal systems of BVPs with asymptotically sublinear boundary conditions. Zbl 1299.34065 Goodrich, Christopher S. 18 2012 Existence of a positive solution to a first-order \(p\)-Laplacian BVP on a time scale. Zbl 1236.34112 Goodrich, Christopher S. 17 2011 The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems. Zbl 1390.45015 Goodrich, Christopher S. 17 2017 On a nonlocal BVP with nonlinear boundary conditions. Zbl 1284.34029 Goodrich, Christopher S. 16 2013 The relationship between discrete sequential fractional delta differences and convexity. Zbl 1474.26041 Goodrich, Christopher S. 16 2016 Partial regularity of solutions to \(p(x)\)-Laplacian PDEs with discontinuous coefficients. Zbl 1436.35206 Goodrich, Christopher S.; Ragusa, M. Alessandra; Scapellato, Andrea 16 2020 A sharp convexity result for sequential fractional delta differences. Zbl 1381.26012 Goodrich, Christopher S. 16 2017 Positive solution for a discrete fractional periodic boundary value problem. Zbl 1268.26010 Ferreira, Rui A. C.; Goodrich, Christopher S. 15 2012 Partial Hölder continuity of minimizers of functionals satisfying a general asymptotic relatedness condition. Zbl 1317.49046 Foss, Mikil; Goodrich, Christopher S. 15 2015 Hölder continuity of weak solutions of \(p\)-Laplacian PDEs with VMO coefficients. Zbl 1418.35058 Goodrich, Christopher S.; Ragusa, M. Alessandra 15 2019 A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs. Zbl 1390.45016 Goodrich, Christopher S. 14 2017 The relation between nabla fractional differences and nabla integer differences. Zbl 1488.26011 Baoguo, Jia; Erbe, Lynn; Goodrich, Christopher; Peterson, Allan 14 2017 A topological approach to a class of one-dimensional Kirchhoff equations. Zbl 1477.34044 Goodrich, Christopher S. 14 2021 An analysis of the sharpness of monotonicity results via homotopy for sequential fractional operators. Zbl 1473.39036 Goodrich, Christopher S.; Muellner, Matthew 14 2019 Nonlocal differential equations with concave coefficients of convolution type. Zbl 1494.34082 Goodrich, Christopher S. 13 2021 Differential equations with multiple sign changing convolution coefficients. Zbl 1489.34037 Goodrich, Christopher S. 13 2021 Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case. Zbl 1515.34031 Goodrich, Christopher; Lizama, Carlos 13 2022 On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds. Zbl 1355.49034 Foss, Mikil D.; Goodrich, Christopher S. 12 2016 Analytical and numerical monotonicity results for discrete fractional sequential differences with negative lower bound. Zbl 1469.39003 Goodrich, Christopher S.; Lyons, Benjamin; Velcsov, Mihaela T. 12 2021 Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order. Zbl 1390.39062 Goodrich, Christopher S. 12 2018 Sharp monotonicity results for fractional nabla sequential differences. Zbl 1422.39022 Goodrich, Christopher S. 12 2019 Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs. Zbl 1372.39009 Goodrich, Christopher S. 11 2016 Coupled systems of boundary value problems with nonlocal boundary conditions. Zbl 1312.34050 Goodrich, Christopher S. 11 2015 The existence of a positive solution to a second-order delta-nabla \(p\)-Laplacian BVP on a time scale. Zbl 1235.34241 Goodrich, Christopher S. 11 2012 Partial Hölder continuity of minimizers of functionals satisfying a VMO condition. Zbl 1366.49041 Goodrich, Christopher S. 11 2017 Perturbed Hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic PDEs. Zbl 1352.45006 Goodrich, Christopher S. 10 2016 Nonlocal differential equations with convolution coefficients and applications to fractional calculus. Zbl 1504.34051 Goodrich, Christopher S. 10 2021 A one-dimensional Kirchhoff equation with generalized convolution coefficients. Zbl 1504.34052 Goodrich, Christopher S. 10 2021 Mixed order monotonicity results for sequential fractional nabla differences. Zbl 1421.39006 Dahal, Rajendra; Goodrich, Christopher S. 10 2019 Positivity and monotonicity results for triple sequential fractional differences via convolution. Zbl 1446.39003 Goodrich, Christopher S.; Lyons, Benjamin 9 2020 New monotonicity conditions in discrete fractional calculus with applications to extremality conditions. Zbl 1368.26008 Dahal, Rajendra; Drvol, Stanley; Goodrich, Christopher S. 9 2017 Theoretical and numerical analysis of monotonicity results for fractional difference operators. Zbl 1471.65219 Dahal, Rajendra; Goodrich, Christopher S. 9 2021 On positive solutions to fractional difference inclusions. Zbl 1317.39006 Ferreira, Rui A. C.; Goodrich, Christopher S. 8 2015 A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1308.34029 Goodrich, Christopher S. 8 2014 Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions. Zbl 1371.49029 Goodrich, Christopher S. 8 2017 Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale. Zbl 1313.34293 Goodrich, Christopher S. 8 2013 Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems. Zbl 1436.45005 Goodrich, Christopher S. 8 2019 A uniformly sharp convexity result for discrete fractional sequential differences. Zbl 1434.26008 Dahal, Rajendra; Goodrich, Christopher S. 8 2019 Convexity, monotonicity, and positivity results for sequential fractional nabla difference operators with discrete exponential kernels. Zbl 1472.39009 Goodrich, Christopher S.; Jonnalagadda, Jagan M.; Lyons, Benjamin 8 2021 Topological analysis of doubly nonlocal boundary value problems. Zbl 1473.45016 Goodrich, Christopher S. 7 2021 Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound. Zbl 1510.26007 Goodrich, Christopher S.; Lyons, Benjamin; Scapellato, Andrea; Velcsov, Mihaela T. 7 2021 On semipositone non-local boundary-value problems with nonlinear or affine boundary conditions. Zbl 1375.34039 Goodrich, Christopher S. 7 2017 Nonlocal differential equations with \({(p,q)}\) growth. Zbl 1531.45012 Goodrich, Christopher S. 7 2023 Positive solutions to differential inclusions with nonlocal, nonlinear boundary conditions. Zbl 1311.34049 Goodrich, Christopher S. 6 2013 Pointwise conditions for perturbed Hammerstein integral equations with monotone nonlinear, nonlocal elements. Zbl 1524.45005 Goodrich, Christopher S. 6 2020 An analysis of nonlocal difference equations with finite convolution coefficients. Zbl 1486.39021 Goodrich, Christopher S. 6 2022 Nonexistence and parameter range estimates for convolution differential equations. Zbl 1517.34034 Goodrich, Christopher S. 6 2022 Summation equations with sign changing kernels and applications to discrete fractional boundary value problems. Zbl 1374.39001 Goodrich, Christopher S. 5 2016 Partial regularity of minimizers of functionals with discontinuous coefficients of low integrability with applications to nonlinear elliptic systems. Zbl 1516.35151 Goodrich, Christopher S. 5 2018 Operators with Gaussian kernel bounds on mixed Morrey spaces. Zbl 1499.42089 Anceschi, Francesca; Goodrich, Christopher S.; Scapellato, Andrea 5 2019 A general low-order partial regularity theory for asymptotically convex functionals with asymptotic dependence on the minimizer. Zbl 1404.46032 Goodrich, Christopher S. 5 2018 Monotonicity results for CFC nabla fractional differences with negative lower bound. Zbl 1485.39006 Goodrich, Christopher S.; Jonnalagadda, Jagan M. 5 2021 Erratum to: “A monotonicity result for discrete fractional difference operators”. Zbl 1330.39022 Dahal, Rajendra; Goodrich, Christopher S. 4 2015 An existence result for systems of second-order boundary value problems with nonlinear boundary conditions. Zbl 1310.34035 Goodrich, Christopher S. 4 2014 Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions. Zbl 1358.39005 Goodrich, Christopher S. 4 2017 Nonlocal difference equations with sign-changing coefficients. Zbl 1439.39006 Goodrich, Christopher S.; Lyons, Benjamin 4 2020 An analysis of polynomial sequences and their application to discrete fractional operators. Zbl 1505.39005 Goodrich, Christopher S.; Jonnalagadda, Jagan M. 4 2021 Monotonicity results for sequential fractional differences of mixed orders with negative lower bound. Zbl 1485.26010 Dahal, Rajendra; Goodrich, Christopher S.; Lyons, Benjamin 4 2021 Partial regularity of minimizers of asymptotically convex functionals with \({p(x)}\)-growth. Zbl 1523.35093 Goodrich, Christopher S.; Scapellato, Andrea 3 2022 Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth. Zbl 1498.35209 Goodrich, Christopher; Scilla, Giovanni; Stroffolini, Bianca 3 2022 An application of a nonstandard cone to discrete boundary value problems with unbounded indefinite forcing. Zbl 1454.39018 Dahal, Rajendra; Goodrich, Christopher S. 3 2019 On positivity and monotonicity analysis for discrete fractional operators with discrete Mittag-Leffler kernel. Zbl 1529.26011 Mohammed, Pshtiwan Othman; Goodrich, Christopher S.; Hamasalh, Faraidun Kadir; Kashuri, Artion; Hamed, Y. S. 3 2022 Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals. Zbl 1532.26016 Ali, Muhammad Aamir; Goodrich, Christopher S.; Budak, Hüseyin 3 2023 A note on perturbed Hammerstein equations with applications to nonlocal boundary value problems. Zbl 1346.45006 Goodrich, Christopher S. 2 2016 Partial regularity of minimizers of asymptotically convex functionals with Morrey coefficients. Zbl 1460.35063 Goodrich, Christopher S. 2 2021 An application of Sobolev’s inequality to one-dimensional Kirchhoff equations. Zbl 1541.34044 Goodrich, Christopher S. 2 2024 Nonexistence of nontrivial solutions to Kirchhoff-like equations. Zbl 07881500 Goodrich, Christopher S. 1 2024 Nonlocal differential equations with \({(p,q)}\) growth. Zbl 1531.45012 Goodrich, Christopher S. 7 2023 Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals. Zbl 1532.26016 Ali, Muhammad Aamir; Goodrich, Christopher S.; Budak, Hüseyin 3 2023 Nonlocal differential equations with convex convolution coefficients. Zbl 1528.33001 Goodrich, Christopher S. 2 2023 Convolution equations with variable time nonlocal coefficients. Zbl 1528.34022 Goodrich, Christopher S. 2 2023 Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case. Zbl 1515.34031 Goodrich, Christopher; Lizama, Carlos 13 2022 An analysis of nonlocal difference equations with finite convolution coefficients. Zbl 1486.39021 Goodrich, Christopher S. 6 2022 Nonexistence and parameter range estimates for convolution differential equations. Zbl 1517.34034 Goodrich, Christopher S. 6 2022 Partial regularity of minimizers of asymptotically convex functionals with \({p(x)}\)-growth. Zbl 1523.35093 Goodrich, Christopher S.; Scapellato, Andrea 3 2022 Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth. Zbl 1498.35209 Goodrich, Christopher; Scilla, Giovanni; Stroffolini, Bianca 3 2022 On positivity and monotonicity analysis for discrete fractional operators with discrete Mittag-Leffler kernel. Zbl 1529.26011 Mohammed, Pshtiwan Othman; Goodrich, Christopher S.; Hamasalh, Faraidun Kadir; Kashuri, Artion; Hamed, Y. S. 3 2022 New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel. Zbl 07513340 Mohammed, Pshtiwan Othman; Goodrich, Christopher S.; Brzo, Aram Bahroz; Baleanu, Dumitru; Hamed, Yasser S. 2 2022 A topological approach to nonlocal elliptic partial differential equations on an annulus. Zbl 1525.34047 Goodrich, Christopher S. 28 2021 A topological approach to a class of one-dimensional Kirchhoff equations. Zbl 1477.34044 Goodrich, Christopher S. 14 2021 Nonlocal differential equations with concave coefficients of convolution type. Zbl 1494.34082 Goodrich, Christopher S. 13 2021 Differential equations with multiple sign changing convolution coefficients. Zbl 1489.34037 Goodrich, Christopher S. 13 2021 Analytical and numerical monotonicity results for discrete fractional sequential differences with negative lower bound. Zbl 1469.39003 Goodrich, Christopher S.; Lyons, Benjamin; Velcsov, Mihaela T. 12 2021 Nonlocal differential equations with convolution coefficients and applications to fractional calculus. Zbl 1504.34051 Goodrich, Christopher S. 10 2021 A one-dimensional Kirchhoff equation with generalized convolution coefficients. Zbl 1504.34052 Goodrich, Christopher S. 10 2021 Theoretical and numerical analysis of monotonicity results for fractional difference operators. Zbl 1471.65219 Dahal, Rajendra; Goodrich, Christopher S. 9 2021 Convexity, monotonicity, and positivity results for sequential fractional nabla difference operators with discrete exponential kernels. Zbl 1472.39009 Goodrich, Christopher S.; Jonnalagadda, Jagan M.; Lyons, Benjamin 8 2021 Topological analysis of doubly nonlocal boundary value problems. Zbl 1473.45016 Goodrich, Christopher S. 7 2021 Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound. Zbl 1510.26007 Goodrich, Christopher S.; Lyons, Benjamin; Scapellato, Andrea; Velcsov, Mihaela T. 7 2021 Monotonicity results for CFC nabla fractional differences with negative lower bound. Zbl 1485.39006 Goodrich, Christopher S.; Jonnalagadda, Jagan M. 5 2021 An analysis of polynomial sequences and their application to discrete fractional operators. Zbl 1505.39005 Goodrich, Christopher S.; Jonnalagadda, Jagan M. 4 2021 Monotonicity results for sequential fractional differences of mixed orders with negative lower bound. Zbl 1485.26010 Dahal, Rajendra; Goodrich, Christopher S.; Lyons, Benjamin 4 2021 Partial regularity of minimizers of asymptotically convex functionals with Morrey coefficients. Zbl 1460.35063 Goodrich, Christopher S. 2 2021 Discrete Kirchhoff equations with sign-changing coefficients. Zbl 1481.39005 Goodrich, Christopher S. 2 2021 Analysis of convexity results for discrete fractional nabla operators. Zbl 1500.39013 Dahal, Rajendra; Goodrich, Christopher S. 2 2021 A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. Zbl 1508.47080 Goodrich, Christopher; Lizama, Carlos 60 2020 Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029 Goodrich, Christopher; Lizama, Carlos 32 2020 Partial regularity of solutions to \(p(x)\)-Laplacian PDEs with discontinuous coefficients. Zbl 1436.35206 Goodrich, Christopher S.; Ragusa, M. Alessandra; Scapellato, Andrea 16 2020 Positivity and monotonicity results for triple sequential fractional differences via convolution. Zbl 1446.39003 Goodrich, Christopher S.; Lyons, Benjamin 9 2020 Pointwise conditions for perturbed Hammerstein integral equations with monotone nonlinear, nonlocal elements. Zbl 1524.45005 Goodrich, Christopher S. 6 2020 Nonlocal difference equations with sign-changing coefficients. Zbl 1439.39006 Goodrich, Christopher S.; Lyons, Benjamin 4 2020 Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities. Zbl 1417.39030 Xu, Jiafa; Goodrich, Christopher S.; Cui, Yujun 24 2019 Hölder continuity of weak solutions of \(p\)-Laplacian PDEs with VMO coefficients. Zbl 1418.35058 Goodrich, Christopher S.; Ragusa, M. Alessandra 15 2019 An analysis of the sharpness of monotonicity results via homotopy for sequential fractional operators. Zbl 1473.39036 Goodrich, Christopher S.; Muellner, Matthew 14 2019 Sharp monotonicity results for fractional nabla sequential differences. Zbl 1422.39022 Goodrich, Christopher S. 12 2019 Mixed order monotonicity results for sequential fractional nabla differences. Zbl 1421.39006 Dahal, Rajendra; Goodrich, Christopher S. 10 2019 Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems. Zbl 1436.45005 Goodrich, Christopher S. 8 2019 A uniformly sharp convexity result for discrete fractional sequential differences. Zbl 1434.26008 Dahal, Rajendra; Goodrich, Christopher S. 8 2019 Operators with Gaussian kernel bounds on mixed Morrey spaces. Zbl 1499.42089 Anceschi, Francesca; Goodrich, Christopher S.; Scapellato, Andrea 5 2019 An application of a nonstandard cone to discrete boundary value problems with unbounded indefinite forcing. Zbl 1454.39018 Dahal, Rajendra; Goodrich, Christopher S. 3 2019 New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green’s function. Zbl 1379.35097 Goodrich, Christopher S. 34 2018 Radially symmetric solutions of elliptic PDEs with uniformly negative weight. Zbl 1412.35144 Goodrich, Christopher S. 30 2018 A uniformly sharp monotonicity result for discrete fractional sequential differences. Zbl 1384.39011 Goodrich, Christopher S. 20 2018 Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order. Zbl 1390.39062 Goodrich, Christopher S. 12 2018 Partial regularity of minimizers of functionals with discontinuous coefficients of low integrability with applications to nonlinear elliptic systems. Zbl 1516.35151 Goodrich, Christopher S. 5 2018 A general low-order partial regularity theory for asymptotically convex functionals with asymptotic dependence on the minimizer. Zbl 1404.46032 Goodrich, Christopher S. 5 2018 Perturbed integral operator equations of Volterra type with applications to \(p\)-Laplacian equations. Zbl 1391.45003 Goodrich, Christopher S. 2 2018 Coercive nonlocal elements in fractional differential equations. Zbl 1367.26017 Goodrich, Christopher S. 33 2017 Monotonicity results for delta fractional differences revisited. Zbl 1505.26016 Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan 25 2017 An almost sharp monotonicity result for discrete sequential fractional delta differences. Zbl 1385.39003 Dahal, Rajendra; Goodrich, Christopher S. 25 2017 The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems. Zbl 1390.45015 Goodrich, Christopher S. 17 2017 A sharp convexity result for sequential fractional delta differences. Zbl 1381.26012 Goodrich, Christopher S. 16 2017 A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs. Zbl 1390.45016 Goodrich, Christopher S. 14 2017 The relation between nabla fractional differences and nabla integer differences. Zbl 1488.26011 Baoguo, Jia; Erbe, Lynn; Goodrich, Christopher; Peterson, Allan 14 2017 Partial Hölder continuity of minimizers of functionals satisfying a VMO condition. Zbl 1366.49041 Goodrich, Christopher S. 11 2017 New monotonicity conditions in discrete fractional calculus with applications to extremality conditions. Zbl 1368.26008 Dahal, Rajendra; Drvol, Stanley; Goodrich, Christopher S. 9 2017 Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions. Zbl 1371.49029 Goodrich, Christopher S. 8 2017 On semipositone non-local boundary-value problems with nonlinear or affine boundary conditions. Zbl 1375.34039 Goodrich, Christopher S. 7 2017 Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions. Zbl 1358.39005 Goodrich, Christopher S. 4 2017 Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions. Zbl 1422.39027 Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan 41 2016 A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference. Zbl 1337.26011 Goodrich, Christopher S. 25 2016 The relationship between discrete sequential fractional delta differences and convexity. Zbl 1474.26041 Goodrich, Christopher S. 16 2016 On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds. Zbl 1355.49034 Foss, Mikil D.; Goodrich, Christopher S. 12 2016 Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs. Zbl 1372.39009 Goodrich, Christopher S. 11 2016 Perturbed Hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic PDEs. Zbl 1352.45006 Goodrich, Christopher S. 10 2016 Summation equations with sign changing kernels and applications to discrete fractional boundary value problems. Zbl 1374.39001 Goodrich, Christopher S. 5 2016 A note on perturbed Hammerstein equations with applications to nonlocal boundary value problems. Zbl 1346.45006 Goodrich, Christopher S. 2 2016 Discrete fractional calculus. Zbl 1350.39001 Goodrich, Christopher; Peterson, Allan C. 330 2015 On nonlinear boundary conditions involving decomposable linear functionals. Zbl 1322.34038 Goodrich, Christopher S. 24 2015 Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions. Zbl 1320.39001 Goodrich, Christopher S. 19 2015 Semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1318.34034 Goodrich, Christopher S. 19 2015 Partial Hölder continuity of minimizers of functionals satisfying a general asymptotic relatedness condition. Zbl 1317.49046 Foss, Mikil; Goodrich, Christopher S. 15 2015 Coupled systems of boundary value problems with nonlocal boundary conditions. Zbl 1312.34050 Goodrich, Christopher S. 11 2015 On positive solutions to fractional difference inclusions. Zbl 1317.39006 Ferreira, Rui A. C.; Goodrich, Christopher S. 8 2015 Erratum to: “A monotonicity result for discrete fractional difference operators”. Zbl 1330.39022 Dahal, Rajendra; Goodrich, Christopher S. 4 2015 A monotonicity result for discrete fractional difference operators. Zbl 1296.39016 Dahal, Rajendra; Goodrich, Christopher S. 51 2014 A convexity result for fractional differences. Zbl 1314.26010 Goodrich, Christopher S. 42 2014 Systems of semipositone discrete fractional boundary value problems. Zbl 1319.39002 Dahal, Rajendra; Duncan, David; Goodrich, Christopher S. 34 2014 A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions. Zbl 1308.34029 Goodrich, Christopher S. 8 2014 An existence result for systems of second-order boundary value problems with nonlinear boundary conditions. Zbl 1310.34035 Goodrich, Christopher S. 4 2014 On nonlinear boundary conditions satisfying certain asymptotic behavior. Zbl 1264.34030 Goodrich, Christopher S. 39 2013 On semipositone discrete fractional boundary value problems with non-local boundary conditions. Zbl 1282.26008 Goodrich, Christopher S. 32 2013 On a nonlocal BVP with nonlinear boundary conditions. Zbl 1284.34029 Goodrich, Christopher S. 16 2013 Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale. Zbl 1313.34293 Goodrich, Christopher S. 8 2013 Positive solutions to differential inclusions with nonlocal, nonlinear boundary conditions. Zbl 1311.34049 Goodrich, Christopher S. 6 2013 On discrete sequential fractional boundary value problems. Zbl 1236.39008 Goodrich, Christopher S. 89 2012 On a discrete fractional three-point boundary value problem. Zbl 1253.26010 Goodrich, Christopher S. 67 2012 Positive solutions to boundary value problems with nonlinear boundary conditions. Zbl 1237.34153 Goodrich, Christopher S. 47 2012 On a fractional boundary value problem with fractional boundary conditions. Zbl 1266.39006 Goodrich, Christopher S. 32 2012 On nonlocal BVPs with nonlinear boundary conditions with asymptotically sublinear or superlinear growth. Zbl 1252.34032 Goodrich, C. S. 30 2012 On a first-order semipositone discrete fractional boundary value problem. Zbl 1263.26016 Goodrich, Christopher S. 29 2012 Nonlocal systems of BVPs with asymptotically superlinear boundary conditions. Zbl 1249.34054 Goodrich, Christopher S. 22 2012 Nonlocal systems of BVPs with asymptotically sublinear boundary conditions. Zbl 1299.34065 Goodrich, Christopher S. 18 2012 Positive solution for a discrete fractional periodic boundary value problem. Zbl 1268.26010 Ferreira, Rui A. C.; Goodrich, Christopher S. 15 2012 The existence of a positive solution to a second-order delta-nabla \(p\)-Laplacian BVP on a time scale. Zbl 1235.34241 Goodrich, Christopher S. 11 2012 ...and 9 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 948 Authors 89 Goodrich, Christopher S. 37 Abdeljawad, Thabet 32 Liu, Lishan 29 Băleanu, Dumitru I. 29 Wu, Yonghong 28 Ntouyas, Sotiris K. 27 Jonnalagadda, Jagan Mohan 26 Ahmad, Bashir 24 Lizama, Carlos 23 Xu, Jiafa 21 Jia, Baoguo 19 Alzabut, Jehad O. 19 Wu, Guocheng 18 Al-saedi, Ahmed Eid Salem 18 Ouannas, Adel 17 Infante, Gennaro 17 Zhang, Xinguang 16 Sitthiwirattham, Thanin 14 Khennaoui, Amina-Aicha 14 Peterson, Allan C. 13 Du, Feifei 13 Mohammed, Pshtiwan Othman 13 O’Regan, Donal 13 Tariboon, Jessada 12 Grassi, Giuseppe 12 Jiang, Jiqiang 12 Kong, Lingju 12 Pietramala, Paolamaria 12 Sun, Shurong 12 ur Rehman, Mujeeb 12 Wei, Yiheng 11 Bendoukha, Samir 11 Dahal, Rajendra 11 Erbe, Lynn Harry 11 Graef, John R. 11 Pham, Viet-Thanh 11 Selvam, A. George Maria 10 Zhang, Lingling 9 Chen, Huiqin 9 Cui, Yujun 9 Kang, Shugui 9 Liu, Xiang 9 Merdivenci Atici, Ferhan 9 Rezapour, Shahram 9 Shah, Kamal 8 Agarwal, Ravi P. 8 Chen, Churong 8 Cianciaruso, Filomena 8 Hamed, Yasser S. 8 Hao, Xin’an 8 Ponce, Rodrigo F. 8 Samet, Bessem 7 Cabada, Alberto 7 Ferreira, Rui A. C. 7 Han, Zhenlai 7 Henderson, Johnny Lee 7 Jarad, Fahd 7 Lv, Weidong 7 Rashid, Saima 7 Wang, Yongqing 7 Zhao, Kaihong 7 Zhou, Yong 6 Bohner, Martin J. 6 Cao, Jinde 6 Chasreechai, Saowaluck 6 Chu, Yuming 6 Lyons, Benjamin 6 Samei, Mohammad Esmael 6 Srivastava, Hari Mohan 6 Vignesh, Dhakshinamoorthy 6 Wang, Min 6 Wang, Yong 6 Yang, Liu 6 Zada, Akbar 5 Abadias, Luciano 5 Dhineshbabu, Raghupathi 5 Haider, Syed Sabyel 5 Hou, Chengmin 5 Jleli, Mohamed Boussairi 5 Khastan, Alireza 5 Krushna, Boddu Muralee Bala 5 Lan, Kunquan 5 Liu, Yuji 5 Prasad, Kapula Rajendra 5 Rao, Sabbavarapu Nageswara 5 Sang, Yanbin 5 Wang, Fang 5 Wang, Guotao 5 Zhang, Xingqiu 5 Zhou, Bibo 4 Almalahi, Mohammed A. 4 Asawasamrit, Suphawat 4 Aslıyüce, Serkan 4 Beigmohamadi, R. 4 Chen, Fulai 4 Chen, Haibo 4 Cheng, Wei 4 Cui, Yaqiong 4 Dimitrov, Nikolay D. 4 Dong, Wei ...and 848 more Authors all top 5 Cited in 186 Serials 102 Advances in Difference Equations 48 Boundary Value Problems 37 Abstract and Applied Analysis 32 Mathematical Methods in the Applied Sciences 26 Journal of Difference Equations and Applications 23 Applied Mathematics and Computation 23 Fractional Calculus & Applied Analysis 23 Journal of Function Spaces 21 Applied Mathematics Letters 19 Discrete Dynamics in Nature and Society 19 Journal of Applied Mathematics and Computing 18 Journal of Inequalities and Applications 17 Fractals 16 Chaos, Solitons and Fractals 15 Rocky Mountain Journal of Mathematics 15 Journal of Applied Analysis and Computation 14 Communications in Nonlinear Science and Numerical Simulation 14 Fractional Differential Calculus 11 Nonlinear Analysis. 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Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 Biometrical Journal ...and 86 more Serials all top 5 Cited in 40 Fields 474 Ordinary differential equations (34-XX) 376 Real functions (26-XX) 373 Difference and functional equations (39-XX) 252 Operator theory (47-XX) 91 Partial differential equations (35-XX) 56 Integral equations (45-XX) 39 Systems theory; control (93-XX) 27 Numerical analysis (65-XX) 24 Special functions (33-XX) 24 Dynamical systems and ergodic theory (37-XX) 23 Integral transforms, operational calculus (44-XX) 18 Biology and other natural sciences (92-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 14 Functional analysis (46-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Statistics (62-XX) 5 Fluid mechanics (76-XX) 4 Probability theory and stochastic processes (60-XX) 3 Combinatorics (05-XX) 3 Potential theory (31-XX) 3 Computer science (68-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year