Multiplicity of solutions for elliptic equations involving fractional operator and sign-changing nonlinearity
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pseudo-differential Operators and Applications"
DOI: 10.1007/s11868-020-00357-9
Abstract: In this work, we study the existence and the multiplicity of non-negative solutions for the following problem $$\begin{aligned} ({\mathrm{P}}_\uplambda ) \left\{ \begin{array}{ll} \mathcal {L} u = a(x) u^{q}+ \lambda b(x) u^p\quad \text {in }\Omega ,… read more here.
Keywords: multiplicity; lambda; multiplicity solutions; elliptic equations ... See more keywords
Positive Solutions for Elliptic Problems Involving Hardy–Sobolev–Maz’ya Terms
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-018-0603-3
Abstract: In the present paper, we study the semilinear elliptic problem $$\displaystyle -\Delta u -\mu \frac{u}{|y|^{2}}=\frac{|u|^{2^{*}(s)-2}u}{|y|^{s}}+ f(x,u)$$-Δu-μu|y|2=|u|2∗(s)-2u|y|s+f(x,u) in bounded domain. Replacing the Ambrosetti–Rabinowitz condition by general superquadratic assumptions and the nonquadratic assumption, we establish the existence… read more here.
Keywords: problems involving; positive solutions; elliptic problems; hardy sobolev ... See more keywords
Classification of solutions of elliptic equations arising from a gravitational O(3) gauge field model
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.12.030
Abstract: Abstract In this paper, we study an elliptic equation arising from the self-dual Maxwell gauged O ( 3 ) sigma model coupled with gravity. When the parameter τ equals 1 and there is only one… read more here.
Keywords: elliptic equations; equations arising; model; solutions elliptic ... See more keywords
Existence and behavior of the solutions for an elliptic equation with a nonlocal operator involving critical and discontinuous nonlinearity
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124530
Abstract: Abstract In this paper, we study the following class of nonlinear boundary value problems (P)a { − L K u = f ( x , u ) + H ( u − a ) |… read more here.
Keywords: existence behavior; behavior solutions; elliptic equation; solutions elliptic ... See more keywords