Abstract
We establish two general nonlinear Liouville theorems for equations of the type $$ -\Delta u=h(x_1)f(u),\; u\geq 0 \; \mbox{ in } R^N,\; \sup_{R^N}u < +\infty. $$ We then show how these Liouville theorems can be used to obtain a priori estimates for positive solutions of indefinite superlinear elliptic equations for several new cases left open in previous research.
Citation
Yihong Du. Shujie Li. "Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations." Adv. Differential Equations 10 (8) 841 - 860, 2005. https://doi.org/10.57262/ade/1355867821
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