Multiplicity Results for Kirchhoff Equations with Hardy-Littlewood-Sobolev Critical Nonlinearity
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-019-09456-3
Abstract: In this paper, we deal with the multiplicity results for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity in ℝ N $\mathbb {R}^{N}$ . By using the second concentration-compactness principle and concentration-compactness principle at infinity to prove… read more here.
Keywords: equations hardy; hardy littlewood; littlewood sobolev; results kirchhoff ... See more keywords
A critical point approach to multiplicity results for a fractional boundary value problem
Sign Up to like & getrecommendations! Published in 2020 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-020-00886-y
Abstract: In this article, we establish criteria for the existence of at least three solutions of a fractional differential equation with Dirichlet boundary condition using variational methods and critical point theory. We discuss some consequences of… read more here.
Keywords: point approach; approach multiplicity; critical point; results fractional ... See more keywords
Existence and Multiplicity Results for Steklov Problems with p(.)-Growth Conditions
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-018-0054-5
Abstract: Using variational methods, we prove in different situations the existence and multiplicity of solutions for the following Steklov problem: $$\begin{aligned} -\text{ div }(a(x, \nabla u))+|u|^{p(x)-2}u= & {} 0, \quad \text {in }\Omega , \\ a(x,… read more here.
Keywords: existence multiplicity; multiplicity results; partial omega; mapsto mathbb ... See more keywords
Multiplicity results for the Yamabe equation by Lusternik–Schnirelmann theory
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2018.08.011
Abstract: Let $(M,g)$ be any closed Riemannianan manifold and $(N,h)$ be a Riemannian manifold of constant positive scalar curvature. We prove that the Yamabe equation on the Riemannian product $(M\times N , g + \delta h)$… read more here.
Keywords: equation lusternik; results yamabe; yamabe equation; lusternik schnirelmann ... See more keywords
Existence and multiplicity results for a semilinear elliptic problem
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.03.028
Abstract: Abstract In this paper we establish sufficient conditions for an asymptotically linear elliptic boundary value problem to have at least five solutions when the range of the derivative of the nonlinearity includes at least the… read more here.
Keywords: results semilinear; elliptic problem; problem; semilinear elliptic ... See more keywords
Some multiplicity results of homoclinic solutions for second order Hamiltonian systems
Sign Up to like & getrecommendations! Published in 2020 at "Opuscula Mathematica"
DOI: 10.7494/opmath.2020.40.1.21
Abstract: where q : R → R , W ∈ C1(R × R ,R) and ∇W (t, q) denotes the gradient of W with respect to q ∈ R for every t ∈ R. We look… read more here.
Keywords: solutions second; results homoclinic; second order; homoclinic solutions ... See more keywords