Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations

By Jianxin He, Xinguang Zhang, Lishan Liu, Yonghong Wu. Nonlinear Analysis: Modelling and Control, 2018

46 citations recorded by the source corpus.

In this paper, we establish the existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations in a ball. Under some suitable local growth conditions for nonlinearity, several new results are obtained by using the fixed-point theorem.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/855709656a486beaee6646ea053081541dc026fd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Yujun Cui
2. Xinguang Zhang
3. Lishan Liu
4. Yonghong Wu

In Computational Theory and Mathematics

1. Lishan Liu
2. Xinguang Zhang
3. Yonghong Wu
4. Yujun Cui

Citations in the corpus

• Existence of infinitely solutions for a modified nonlinear Schrödinger equation via dual approach (2018, result): “Our research is also closely related to some work by Sun et al [44, 46, 47, 48, 49], Mao et al [25, 26, 27, 28], Liu et al [18], Elisandra [9], Shao[42], Shi and Chen [43], Zhang et al [11, 56, 62] and variational methods for ordinary differential equations [20, 21, 22, 60, 66, 67] and partial diffe”