An Overview of Our Results
暂无分享,去创建一个
Patrizia Pucci | Bruno Bianchini | Marco Rigoli | Luciano Mari | P. Pucci | M. Rigoli | L. Mari | Bruno Bianchini
[1] A. Wood,et al. Large solutions of semilinear elliptic equations with nonlinear gradient terms , 1999 .
[2] J. Serrin,et al. A remark on entire solutions of quasilinear elliptic equations , 2011 .
[3] Vicentiu D. Radulescu,et al. The maximum principle with lack of monotonicity , 2018 .
[4] L. Mari,et al. On the equivalence of stochastic completeness, Liouville and Khas'minskii condition in linear and nonlinear setting , 2011, 1106.1352.
[5] J. Serrin,et al. A strong maximum principle and a compact support principle for singular elliptic inequalities , 1999 .
[6] J. Keller. On solutions of δu=f(u) , 1957 .
[7] J. Serrin,et al. Qualitative properties for solutions of singular elliptic inequalities on complete manifolds , 2007 .
[8] A. Quaas,et al. A note on the strong maximum principle and the compact support principle , 2009 .
[9] John L. Lewis. Capacitary functions in convex rings , 1977 .
[10] A. Borbély. Stochastic Completeness and the Omori–Yau Maximum Principle , 2017 .
[11] A. Figalli. A simple proof of the Morse-Sard theorem in Sobolev spaces , 2008 .
[12] R. Khas'minskii. Ergodic Properties of Recurrent Diffusion Processes and Stabilization of the Solution to the Cauchy Problem for Parabolic Equations , 1960 .
[13] Constantin P. Niculescu,et al. Explosive solutions of elliptic equations with absorption and nonlinear gradient term , 2002 .
[14] E. Mitidieri,et al. A priori estimates and reduction principles for quasilinear elliptic problems and applications , 2012, Advances in Differential Equations.
[15] J. Eells,et al. REGULARITY OF EXPONENTIALLY HARMONIC FUNCTIONS , 1991 .
[16] Some remarks about the Morse–Sard theorem and approximate differentiability , 2017, Revista Matemática Complutense.
[17] M. Rigoli,et al. The compact support principle for differential inequalities with gradient terms , 2010 .
[18] On Critical Points of p Harmonic Functions in the Plane , 1994 .
[19] J. Eells,et al. Some properties of exponentially harmonic maps , 1992 .
[20] M. Rigoli,et al. Maximum Principles and Geometric Applications , 2016 .
[21] Nonlinear differential inequalities and functions of compact support , 1976 .
[22] M. Rigoli,et al. A remark on the maximum principle and stochastic completeness , 2002 .
[23] E. Mitidieri,et al. A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities , 2010 .
[24] Y. Xin,et al. A GENERALIZED MAXIMUM PRINCIPLE AND ITS APPLICATIONS IN GEOMETRY , 1992 .
[25] L. Brandolini,et al. A note on Keller–Osserman conditions on Carnot groups , 2012 .
[26] H. Brezis. Semilinear equations in ℝN without condition at infinity , 1984 .
[27] R. Azencott. Behavior of diffusion semi-groups at infinity , 1974 .
[28] M. Rigoli,et al. Some Remarks on the Weak Maximum Principle , 2005 .
[29] M. Rigoli,et al. A general form of the weak maximum principle and some applications , 2013, 1303.4861.
[30] E. Mitidieri,et al. Liouville theorems for elliptic systems and applications , 2014 .
[31] M. Rigoli,et al. On the role of gradient terms in coercive quasilinear differential inequalities on Carnot groups , 2015, 1505.05544.
[32] P. Pucci,et al. Entire solutions of singular elliptic inequalities on complete manifolds , 2007 .
[33] M. Rigoli,et al. On the 1/H-flow by p-Laplace approximation: New estimates via fake distances under Ricci lower bounds , 2019, American Journal of Mathematics.
[34] P. Pucci,et al. Nonlinear elliptic inequalities with gradient terms on the Heisenberg group , 2015 .
[35] THE FELLER PROPERTY ON RIEMANNIAN MANIFOLDS , 2010, 1010.1653.
[36] Roberta Filippucci. Nonexistence of positive weak solutions of elliptic inequalities , 2009 .
[37] Patrizia Pucci,et al. The Maximum Principle , 2007 .
[38] Stability of translating solutions to mean curvature flow , 2005, math/0509372.
[39] P. Pucci,et al. NONLINEAR WEIGHTED p-LAPLACIAN ELLIPTIC INEQUALITIES WITH GRADIENT TERMS , 2010 .
[40] Alexander Grigor'yan,et al. Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds , 1999 .
[41] G. Caristi,et al. Nonexistence of positive solutions of quasilinear equations , 1997, Advances in Differential Equations.
[42] V. Le. On some equivalent properties of sub- and supersolutions in second order quasilinear elliptic equations , 1998 .
[43] S. Yau. Harmonic functions on complete riemannian manifolds , 1975 .
[44] R. Benedetti,et al. Lectures on Hyperbolic Geometry , 1992 .
[45] B. Sirakov,et al. Author manuscript, published in "Journal of Differential Equations (2013) 4327-4346" SOLVABILITY OF NONLINEAR ELLIPTIC EQUATIONS WITH GRADIENT TERMS , 2022 .
[46] T. Colding. New monotonicity formulas for Ricci curvature and applications. I , 2011, 1111.4715.
[47] Patrizia Pucci,et al. The strong maximum principle revisited , 2004 .
[48] M. Rigoli,et al. Keller-Osserman type conditions for differential inequalities with gradient terms on the Heisenberg group , 2010, 1003.5780.
[49] Y. Naito,et al. Entire solutions of the inequality div(A(∣Du∣)Du)≧f(u) , 1997 .
[50] A. Greco. On the existence of large solutions for equations of prescribed mean curvature , 1998 .
[51] L. Mari,et al. Duality between Ahlfors–Liouville and Khas’minskii properties for non-linear equations , 2016, Communications in Analysis and Geometry.
[52] M. Rigoli,et al. Maximum Principles On Riemannian Manifolds And Applications , 2005 .
[53] G. Derrick. Comments on Nonlinear Wave Equations as Models for Elementary Particles , 1964 .
[54] I. Holopainen. Riemannian Geometry , 1927, Nature.
[55] V. Benci,et al. Soliton Like Solutions of a Lorentz Invariant Equation in Dimension 3 , 1998 .
[56] Paolo Marcellini. On the definition and the lower semicontinuity of certain quasiconvex integrals , 1986 .
[57] Hideki. Omori. Isometric immersions of Riemannian manifolds , 1967 .
[58] J. Serrin,et al. Qualitative properties of ground states for singular elliptic equations with weights , 2006 .
[59] M. Rigoli,et al. Some non-linear function theoretic properties of Riemannian manifolds , 2006 .
[60] L. Bers. Mathematical Aspects of Subsonic and Transonic Gas Dynamics , 2016 .
[61] Xu-jia Wang. Convex solutions to the mean curvature flow , 2004, math/0404326.
[62] S. Yau,et al. Differential equations on riemannian manifolds and their geometric applications , 1975 .
[63] L. Karp. Differential inequalities on complete Riemannian manifolds and applications , 1985 .
[64] L. Sibner,et al. A non-linear Hodge-de Rham theorem , 1970 .
[65] Tadeusz Iwaniec,et al. Regularity of p-harmonic functions on the plane. , 1989 .
[66] P. Lions,et al. Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints , 1989 .
[67] P. Pucci,et al. On entire solutions of degenerate elliptic differential inequalities with nonlinear gradient terms , 2009 .
[68] J. Serrin,et al. Entire solutions of completely coercive quasilinear elliptic equations, II , 2011 .
[69] Robert Osserman,et al. On the inequality $\Delta u\geq f(u)$. , 1957 .
[70] T. Colding,et al. Harmonic functions with polynomial growth , 1997 .
[71] M. Rigoli,et al. Volume growth, “a priori” estimates, and geometric applications , 2003 .
[72] Maximum Principles at Infinity and the Ahlfors-Khas’minskii Duality: An Overview , 2019, Contemporary Research in Elliptic PDEs and Related Topics.
[73] Y. Haitao. A compact support principle for a class of elliptic differential inequalities , 2004 .
[74] V. Zhikov,et al. AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY , 1987 .
[75] J. Serrin,et al. Comparison principles, uniqueness and symmetry results of solutions of quasilinear elliptic equations and inequalities , 2013 .
[76] V. Tkachev. Some estimates of the mean curvature of nonparametric surfaces given over domains inRn , 1994 .
[77] P. Pucci,et al. Erratum: Non-existence of Entire Solutions of Degenerate Elliptic Inequalities with Weights , 2008 .
[78] M. Rigoli,et al. Keller–Osserman conditions for diffusion-type operators on Riemannian manifolds , 2009, 0904.4647.
[79] R. Redheffer. On the inequality Δu⩾f(u,¦grad u¦) , 1960 .
[80] M. Rigoli,et al. On the Omori-Yau Maximum Principle and Its Applications to Differential Equations and Geometry , 1995 .
[81] Jeff Cheeger,et al. Lower bounds on Ricci curvature and the almost rigidity of warped products , 1996 .
[82] Steven J. Altschuler,et al. Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle , 1994 .
[83] A. Borbély. A Remark on the Omori-Yau Maximum Principle , 2012, 1203.0178.
[84] L. Pascale. The Morse-Sard Theorem in Sobolev spaces , 2001 .
[85] Jeff Cheeger,et al. On the structure of spaces with Ricci curvature bounded below. II , 2000 .
[86] M. Rigoli,et al. On the compact support principle on complete manifolds , 2009 .
[87] Lei Ni,et al. Local gradient estimates of p-harmonic functions, 1/H-flow, and an entropy formula , 2007, 0711.2291.
[88] L. Cherfils,et al. On the stationary solutions of generalized reaction diffusion equations with $p\& q$-Laplacian , 2004 .
[89] L. Brandolini,et al. Liouville type results and a maximum principle for non-linear differential operators on the Heisenberg group , 2014 .
[90] D. Bianchi,et al. Laplacian cut-offs, porous and fast diffusion on manifolds and other applications , 2016, 1607.06008.
[91] Roger Moser,et al. The inverse mean curvature flow and p-harmonic functions , 2007 .
[92] Xiaohong Li,et al. Nonexistence of solutions for singular quasilinear differential inequalities with a gradient nonlinearity , 2012 .
[93] J. Serrin. The Liouville theorem for homogeneous elliptic differential inequalities , 2011 .
[94] Faten Toumi. Existence of blowup solutions for nonlinear problems with a gradient term , 2006, Int. J. Math. Math. Sci..
[95] J. Serrin. Entire solutions of quasilinear elliptic equations , 2009 .