论文信息 - Nodal solutions for singular semilinear elliptic systems

Nodal solutions for singular semilinear elliptic systems

In this paper, we prove existence of nodal solutions for singular semilinear elliptic systems without variational structure where its both components are of sign changing. Our approach is based on subsupersolutions method combined with perturbation arguments involving singular terms.

Abdelkrim Moussaoui

[1] D. Motreanu,et al. Multiple Solutions for Nonvariational Quasilinear Elliptic Systems , 2018 .

[2] Dumitru Motreanu,et al. Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications , 2010 .

[3] Abdelkrim Moussaoui,et al. Singular quasilinear elliptic systems with gradient dependence , 2021, Positivity.

[5] Abdelkrim Moussaoui,et al. Singular Quasilinear Elliptic Systems with (super-) Homogeneous Condition , 2019 .

[6] Abdelkrim Moussaoui,et al. An existence result for a class of quasilinear singular competitive elliptic systems , 2014, Appl. Math. Lett..

[7] Abdelkrim Moussaoui,et al. Positive solutions for infinite semipositone/positone quasilinear elliptic systems with singular and superlinear terms , 2016, 1604.07041.

[8] D. Motreanu. Three solutions with precise sign properties for systems of quasilinear elliptic equations , 2011 .

[9] D. Motreanu,et al. A quasilinear singular elliptic system without cooperative structure , 2014 .

[10] G. Bonanno,et al. Discontinuous elliptic problems involving the p(x)‐Laplacian , 2011 .

[11] Multiple positive solutions for a class of quasilinear singular elliptic systems , 2016, Rendiconti del Circolo Matematico di Palermo Series 2.