Sign-changing solutions to a partially periodic nonlinear Schrödinger equation in domains with unbounded boundary
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DOI: 10.1007/s11784-018-0521-x
Abstract: We consider the problem $$\begin{aligned} -\Delta u+\left( V_{\infty }+V(x)\right) u=|u|^{p-2}u,\quad u\in H_{0} ^{1}(\Omega ), \end{aligned}$$-Δu+V∞+V(x)u=|u|p-2u,u∈H01(Ω),where $$\Omega $$Ω is either $$\mathbb {R}^{N}$$RN or a smooth domain in $$\mathbb {R} ^{N}$$RN with unbounded boundary, $$N\ge 3,$$N≥3,$$V_{\infty }>0,$$V∞>0,$$V\in… read more here.
Keywords: unbounded boundary; changing solutions; solutions partially; sign changing ... See more keywords
Infinitely many sign-changing solutions to Kirchhoff-type equations
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DOI: 10.1007/s13324-018-0218-8
Abstract: In this paper we study the existence of multiple sign-changing solutions for the following nonlocal Kirchhoff-type boundary value problem: $$\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
Least-energy nodal solutions of critical Kirchhoff problems with logarithmic nonlinearity
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DOI: 10.1007/s13324-020-00386-z
Abstract: In this paper, we are concerned with the existence of least energy sign-changing solutions for the following fractional Kirchhoff problem with logarithmic and critical nonlinearity: $$\begin{aligned} \left\{ \begin{array}{ll} \left( a+b[u]_{s,p}^p\right) (-\Delta )^s_pu = \lambda |u|^{q-2}u\ln… read more here.
Keywords: least energy; energy sign; kirchhoff; nonlinearity ... See more keywords
Sign-Changing Solutions for Chern–Simons–Schrödinger Equations with Asymptotically 5-Linear Nonlinearity
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DOI: 10.1007/s40840-020-00974-z
Abstract: In this paper, we study the following Chern–Simons–Schrodinger equation $$\begin{aligned} {\left\{ \begin{array}{ll} \displaystyle -\Delta u+\omega u+\lambda \Big (\frac{h^{2}(|x|)}{|x|^{2}}+ \int _{|x|}^{+\infty }\frac{h(s)}{s}u^{2}(s)\hbox {d}s\Big )u=g(u) \quad \text{ in }\ {\mathbb {R}}^{2},\\ \displaystyle u\in H_r^1({\mathbb {R}}^{2}), \end{array}\right. }… read more here.
Keywords: changing solutions; chern simons; solutions chern; asymptotically linear ... See more keywords
Compactness of sign-changing solutions to scalar curvature-type equations with bounded negative part
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DOI: 10.1016/j.jde.2018.12.002
Abstract: Abstract We consider the equation Δ g u + h u = | u | 2 ⁎ − 2 u in a closed Riemannian manifold ( M , g ) , where h ∈ C… read more here.
Keywords: scalar curvature; negative part; changing solutions; sign changing ... See more keywords
Sign-changing solutions at the almost Hénon critical exponent
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.05.026
Abstract: Abstract We study the problem (Pα) − Δ u = | x | α | u | 4 + 2 α N − 2 − e u in Ω , u = 0 on ∂… read more here.
Keywords: solutions almost; changing solutions; almost non; sign ... See more keywords
Existence of least-energy sign-changing solutions for Schrödinger-Poisson system with critical growth
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DOI: 10.1016/j.jmaa.2019.07.052
Abstract: Abstract In this paper, we study the following Schrodinger-Poisson system { − Δ u + V ( x ) u + λ ϕ u = | u | 4 u + μ f ( u… read more here.
Keywords: least energy; poisson system; energy sign; sign changing ... See more keywords
Sign-changing and nontrivial solutions for a class of Kirchhoff-type problems
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DOI: 10.1016/j.jmaa.2019.123476
Abstract: Abstract In this paper, we study the existence of sign-changing (nodal) and nontrivial solutions for the nonlinear Kirchhoff-type equation { − ( a + b ∫ Ω | ∇ u | 2 d x )… read more here.
Keywords: nontrivial solutions; solutions class; sign changing; changing nontrivial ... See more keywords
Spectrum and constant sign solutions for a fractional Laplace problem with sign-changing weight
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DOI: 10.1016/j.jmaa.2019.123528
Abstract: Abstract In this paper, we study the spectrum of the fractional Laplace operator with sign-changing weight and show that there exist two simple, isolated principal eigenvalues λ 1 + and λ 1 − . By… read more here.
Keywords: constant sign; fractional laplace; sign solutions; sign ... See more keywords
Sign-changing solutions for p-biharmonic equations with Hardy potential☆
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DOI: 10.1016/s0252-9602(17)30025-5
Abstract: Abstract In this article, by using the method of invariant sets of descending flow, we obtain the existence of sign-changing solutions of p-biharmonic equations with Hardy potential in ℝN. read more here.
Keywords: changing solutions; equations hardy; sign changing; biharmonic equations ... See more keywords
The Nehari manifold for a class of Schrödinger equation involving fractional p-Laplacian and sign-changing logarithmic nonlinearity
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DOI: 10.1063/1.5084062
Abstract: In this paper, we study the Schrodinger equation involving fractional p-Laplacian on the whole space of the form (−Δ)psu+V(x)|u|p−2u=λK(x)|u|p−2u+μQ(x)|u|p−2ulog|u|, with the sign-changing weight function Q and the possibly vanishing potential V. By using the relationship… read more here.
Keywords: involving fractional; equation involving; nehari manifold; fractional laplacian ... See more keywords