Results 21 to 30 of about 933,214 (358)
Infinitely Many Solutions for a Robin Boundary Value Problem [PDF]
International Journal of Differential Equations, 2010 By combining the embedding arguments and the variational methods, we obtain infinitely many solutions for a class of superlinear elliptic problems with the Robin boundary value under weaker conditions.
Aixia Qian, Chong Li
doaj +3 more sources
Infinitely many positive solutions for a Schrödinger–Poisson system [PDF]
Applied Mathematics Letters, 2010 23 ...
Pietro d’Avenia +2 more
openalex +10 more sources
Infinitely many positive solutions of nonlinear Schrödinger equations [PDF]
Calculus of Variations and Partial Differential Equations, 2021 AbstractThe paper deals with the equation $$-\Delta u+a(x) u =|u|^{p-1}u $$ - Δ u + a ( x ) u
Molle R., Passaseo D.
openaire +6 more sources
Infinitely many solutions for Schrödinger–Newton equations
Communications in Contemporary Mathematics, 2023 We prove the existence of infinitely many non-radial positive solutions for the Schrödinger–Newton system [Formula: see text] provided that [Formula: see text] has the following behavior at infinity: [Formula: see text] where [Formula: see text] and [Formula: see text] are some positive constants.
Hu Y., Jevnikar A., Xie W.
openaire +2 more sources
Infinitely many non-radial solutions for a Choquard equation
Advances in Nonlinear Analysis, 2022 In this article, we consider the non-linear Choquard equation −Δu+V(∣x∣)u=∫R3∣u(y)∣2∣x−y∣dyuinR3,-\Delta u+V\left(| x| )u=\left(\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}\frac{| u(y){| }^{2}}{| x-y| }{\rm{d}}y\right)u\hspace{1.0em}\hspace{0.1em}\text{in}\
Gao Fashun, Yang Minbo
doaj +1 more source
A sequence of positive solutions for sixth-order ordinary nonlinear differential problems
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Infinitely many solutions for a nonlinear sixth-order differential equation are obtained. The variational methods are adopted and an oscillating behaviour on the nonlinear term is required, avoiding any symmetry assumption.
Gabriele Bonanno, Roberto Livrea
doaj +1 more source
On Existence of Infinitely Many Homoclinic Solutions
Monatshefte f�r Mathematik, 2000 Using the concept of an isolating segment, some sufficient conditions for the existence of homoclinic solutions to nonautonomous ODEs are obtained. As an application it is shown that for all sufficiently small \(\varepsilon >0\) there exist infinitely many geometrically distinct solutions homoclinic to the trivial solution \(z=0\) to the equation ...
Wójcik, Klaudiusz, Zgliczyński, Piotr
openaire +3 more sources
On a fractional differential equation with infinitely many solutions [PDF]
, 2012 We present a set of restrictions on the fractional differential equation $x^{(\alpha)}(t)=g(x(t))$, $t\geq0$, where $\alpha\in(0,1)$ and $g(0)=0$, that leads to the existence of an infinity of solutions starting from $x(0)=0$. The operator $x^{(\alpha)}$
Băleanu, Dumitru +2 more
core +2 more sources
Infinitely many solutions for Hamiltonian systems
Journal of Differential Equations, 2002 AbstractWe consider two classes of the second-order Hamiltonian systems with symmetry. If the systems are asymptotically linear with resonance, we obtain infinitely many small-energy solutions by minimax technique. If the systems possess sign-changing potential, we also establish an existence theorem of infinitely many solutions by Morse theory.
Wenming Zou, Shujie Li
openaire +2 more sources
Infinitely many periodic solutions for ordinary p(t)-Laplacian differential systems
Electronic Research Archive, 2022 In this paper, we consider the existence of infinitely many periodic solutions for some ordinary p(t)-Laplacian differential systems by minimax methods in critical point theory.
Chungen Liu, Yuyou Zhong
doaj +1 more source