Infinitely many sign-changing solutions to Kirchhoff-type equations
Sign Up to like & getrecommendations! Published in 2019 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-018-0218-8
Abstract: In this paper we study the existence of multiple sign-changing solutions for the following nonlocal Kirchhoff-type boundary value problem: $$\begin{aligned} \left\{ \begin{array}{ll} -\left( a+b\int _{\Omega }|\nabla u|^2{ dx}\right) \triangle {u}=\lambda |u|^{p-1}u,&{}\quad \text{ in }\quad \Omega… read more here.
Keywords: kirchhoff type; infinitely many; sign changing; changing solutions ... See more keywords
Infinitely many sign-changing solutions for Choquard equation with doubly critical exponents
Sign Up to like & getrecommendations! Published in 2020 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2020.1825394
Abstract: In this paper, we consider the following Choquard equation: where , , is the Riesz potential, and , where and are lower and upper critical exponents in sense of the Hardy–Littlewood–Sobolev inequality. Based on perturbation… read more here.
Keywords: infinitely many; choquard equation; equation; many sign ... See more keywords