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
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
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
Multiple sign-changing solutions for nonlinear Schrödinger equations with potential well
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DOI: 10.1080/00036811.2019.1572883
Abstract: We study the existence of sign-changing solutions for the following nonlinear Schrödinger equation where the potential has a potential well with bottom independent of the parameter . We show that as more and more sign-changing… read more here.
Keywords: nonlinear schr; changing solutions; potential well; sign changing ... See more keywords
Ground state sign-changing solutions for semilinear Dirichlet problems
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DOI: 10.1186/s13661-018-0973-3
Abstract: AbstractIn the present paper, we consider the existence of ground state sign-changing solutions for the semilinear Dirichlet problem 0.1{−△u+λu=f(x,u),x∈Ω;u=0,x∈∂Ω,$$ \left \{ \textstyle\begin{array}{l@{\quad}l} -\triangle u+\lambda u=f(x, u), & \hbox{$x\in\Omega$;} \\ u=0, & \hbox{$x\in\partial\Omega$,} \end{array}\displaystyle \right .… read more here.
Keywords: sign changing; changing solutions; ground state; state sign ... See more keywords
Global structure of sign-changing solutions for discrete Dirichlet problems
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DOI: 10.1515/math-2020-0180
Abstract: Abstract Let T > 1 T\gt 1 be an integer, T ≔ [ 1 , T ] Z = { 1 , 2 , … , T } , T ˆ ≔ { 0 ,… read more here.
Keywords: changing solutions; sign; sign changing; solutions discrete ... See more keywords
A nonexistence result for blowing up sign-changing solutions of the Brezis–Nirenberg-type problem
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DOI: 10.3906/mat-1709-47
Abstract: where Ω is a smooth bounded domain in R , n ≥ 4 , p + 1 = 2n/(n − 2) is the critical Sobolev exponent for the embedding of H 0 (Ω) into L(Ω)… read more here.
Keywords: changing solutions; mathematics; sign changing; brezis nirenberg ... See more keywords