Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations
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Xinguang Zhang | Lishan Liu | Jianxin He | Yonghong Wu | Yonghong Wu | Lishan Liu | Xinguang Zhang | Jianxin He
[1] S. Moll,et al. Large solutions for nonlinear parabolic equations without absorption terms , 2012, 1409.8476.
[2] Wei Wei. Uniqueness theorems for negative radial solutions of k-Hessian equations in a ball , 2016 .
[3] Hessian measures II , 1999, math/9909199.
[4] Lishan Liu,et al. Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions , 2017, Boundary Value Problems.
[5] Jeff A. Viaclovsky. Conformal geometry, contact geometry, and the calculus of variations , 2000 .
[6] Lou Caccetta,et al. Entire large solutions for a class of Schrödinger systems with a nonlinear random operator , 2015 .
[7] Yonghong Wu,et al. Positive solutions to singular fractional differential system with coupled boundary conditions , 2013, Commun. Nonlinear Sci. Numer. Simul..
[8] Neil S. Trudinger,et al. On the Dirichlet problem for Hessian equations , 1995 .
[9] Vicente Vergara,et al. Bounded solutions of a $k$-Hessian equation in a ball , 2015, 1510.07669.
[10] Yonghong Wu,et al. The iterative solutions of nonlinear fractional differential equations , 2013, Appl. Math. Comput..
[11] K. Deimling. Nonlinear functional analysis , 1985 .
[12] Chuanqiang Chen. The interior gradient estimate of Hessian quotient equations , 2015 .
[13] Yonghong Wu,et al. The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium , 2014, Appl. Math. Lett..
[14] N. Krylov. On the general notion of fully nonlinear second-order elliptic equations , 1995 .
[15] Yonghong Wu,et al. The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives , 2012, Appl. Math. Comput..
[16] R. Leggett,et al. Multiple positive fixed points of nonlinear operators on ordered Banach spaces , 1979 .
[17] Yonghong Wu,et al. The uniqueness of positive solution for a singular fractional differential system involving derivatives , 2013, Commun. Nonlinear Sci. Numer. Simul..
[18] Lawrence C. Evans,et al. Classical solutions of fully nonlinear, convex, second‐order elliptic equations , 1982 .
[19] Fixed point theorems for a class of nonlinear operators in Hilbert spaces and applications , 2011 .
[20] Yonghong Wu,et al. The eigenvalue for a class of singular p-Laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition , 2014, Appl. Math. Comput..
[21] Yonghong Wu,et al. Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives , 2012, Appl. Math. Comput..
[22] Yonghong Wu,et al. Positive solution of singular fractional differential system with nonlocal boundary conditions , 2014 .
[23] Carlos Escudero,et al. On polyharmonic regularizations of $k-$Hessian equations: Variational methods , 2015, 1507.05435.
[24] C. Escudero. Geometric principles of surface growth. , 2008, Physical review letters.
[25] Jiguang Bao,et al. Necessary and sufficient conditions on solvability for Hessian inequalities , 2010 .
[26] Yonghong Wu,et al. Multiple positive solutions of a singular fractional differential equation with negatively perturbed term , 2012, Math. Comput. Model..
[27] Xinguang Zhang,et al. Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess , 2017 .
[28] C. Escudero,et al. Origins of scaling relations in nonequilibrium growth , 2010, 1004.2725.
[29] Luis A. Caffarelli,et al. The Dirichlet problem for nonlinear second-order elliptic equations I , 1984 .
[30] Yonghong Wu,et al. Positive solutions of higher-order nonlinear fractional differential equations with changing-sign measure , 2012 .
[31] Yonghong Wu,et al. Entire blow-up solutions for a quasilinear p-Laplacian Schrödinger equation with a non-square diffusion term , 2017, Appl. Math. Lett..
[32] Zengqin Zhao,et al. Iterative technique for third-order differential equation with three-point nonlinear boundary value conditions , 2016 .
[33] Zengqin Zhao,et al. EXISTENCE OF POSITIVE SOLUTIONS TO A SINGULAR BOUNDARY-VALUE PROBLEM USING VARIATIONAL METHODS , 2014 .
[34] Jeff A. Viaclovsky. Estimates and Existence Results for some Fully Nonlinear Elliptic Equations on Riemannian Manifolds , 2001, math/0104227.
[35] J. Spruck,et al. The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian , 1985 .
[36] Yonghong Wu,et al. Iterative unique positive solutions for singular p-Laplacian fractional differential equation system with several parameters , 2018 .
[37] Weighted eigenvalue problems for Hessian equations , 2010 .
[38] Yonghong Wu,et al. Variational structure and multiple solutions for a fractional advection-dispersion equation , 2014, Comput. Math. Appl..
[39] Isoperimetric estimates for eigenfunctions of Hessian operators , 2009 .
[40] Yonghong Wu,et al. Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations , 2017 .
[41] Dragos-Patru Covei,et al. A necessary and a sufficient condition for the existence of the positive radial solutions to Hessian equations and systems with weights , 2015, 1508.07426.
[42] Lishan Liu,et al. Symmetric positive solutions to singular system with multi-point coupled boundary conditions , 2013, Appl. Math. Comput..
[43] Yonghong Wu,et al. The spectral analysis for a singular fractional differential equation with a signed measure , 2015, Appl. Math. Comput..