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Rong Yin Jihui Zhang Xudong Shang 《Mathematical Methods in the Applied Sciences》2020,43(15):8736-8752
This paper is dedicated to studying the following Schrödinger–Poisson system Under some different assumptions on functions V(x), K(x), a(x) and f(u), by using the variational approach, we establish the existence of positive ground state solutions. 相似文献
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Oleksandr V. Hadzhy Igor I. Skrypnik Mykhailo V. Voitovych 《Mathematische Nachrichten》2023,296(9):3892-3914
We prove continuity and Harnack's inequality for bounded solutions to elliptic equations of the type under the precise choice of μ. 相似文献
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The following kind of Klein–Gordon–Maxwell system is investigated where is a parameter, and V is vanishing potential. By using some suitable conditions on K and f, we obtain a Palais–Smale sequence by using Pohožaev equality and prove the ground-state solution for this system by employing variational methods. Our result improves the related one in the literature. 相似文献
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In this work, we study the existence of positive solutions for the following class of semipositone quasilinear problems: where is a bounded domain, , are parameters, is a Caractheodory function, and has a critical growth with relation to the Orlicz–Sobolev space . The main tools used are variational methods, a concentration compactness theorem for Orlicz–Sobolev space and some priori estimates. 相似文献