Results 31 to 40 of about 70 (51)

Regularity for critical fractional Choquard equation with singular potential and its applications

Advances in Nonlinear Analysis
We study the following fractional Choquard equation (−Δ)su+u∣x∣θ=(Iα*F(u))f(u),x∈RN,{\left(-\Delta )}^{s}u+\frac{u}{{| x| }^{\theta }}=({I}_{\alpha }* F\left(u))f\left(u),\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N⩾3N\geqslant 3, s∈12,1s\in \left ...
Liu Senli, Yang Jie, Su Yu
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Existence and multiplicity of solutions for a class of superlinear elliptic systems

Advances in Nonlinear Analysis, 2018
In this paper, we establish the existence and multiplicity of solutions for a class of superlinear elliptic systems without Ambrosetti and Rabinowitz growth condition. Our results are based on minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Wu Dong-Lun
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Properties of minimizers for L2-subcritical Kirchhoff energy functionals

Advances in Nonlinear Analysis
We consider the properties of minimizers for the following constraint minimization problem: i(c)≔infu∈S1Ic(u),i\left(c):= \mathop{\inf }\limits_{u\in {S}_{1}}{I}_{c}\left(u), where the L2{L}^{2}-unite sphere S1={u∈H1(RN)∣∫RNV(x)u2dxc˜pp∈0,4Nc\gt ...
Guo Helin, Zhao Lingling
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Multiplicity results for elliptic Kirchhoff-type problems

Advances in Nonlinear Analysis, 2017
The aim of this paper is to establish the existence of multiple solutions for a perturbed Kirchhoff-type problem depending on two real parameters. More precisely, we show that an appropriate oscillating behaviour of the nonlinear part, even under small ...
Baraket Sami, Molica Bisci Giovanni
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Strong convergence of three-step iteration methods for a countable family of generalized strict pseudocontractions in Hilbert spaces

Fixed Point Theory and Applications, 2014
In this paper, we introduce a new class of generalized strict pseudocontractions in a real Hilbert space, and we consider a three-step Ishikawa-type iteration method {zn=(1−γn)xn+γnTnxn,yn=(1−βn)xn+βnTnzn,xn+1=(1−αn)xn+αnTnyn, for finding a common fixed ...
Shi-Xiu Li, L. Ceng, Huiying Hu, Xiao-Jie Wang   +3 more
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Existence results for non-coercive problems

Advances in Nonlinear Analysis
In this article, we investigate non-coercive variational equations under assumptions related to generalized monotonicity. We present some general abstract tools regarding the existence of bounded solutions and their multiplicity, which we then apply to ...
Diblík Josef, Galewski Marek, Šmarda Zdenĕk   +2 more
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Sign-Changing Solutions of Fractional 𝑝-Laplacian Problems

Advanced Nonlinear Studies, 2019
In this paper, we obtain the existence and multiplicity of sign-changing solutions of the fractional p-Laplacian problems by applying the method of invariant sets of descending flow and minimax theory.
Chang Xiaojun, Nie Zhaohu, Wang Zhi-Qiang   +2 more
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Concentrating solutions for double critical fractional Schrödinger-Poisson system with p-Laplacian in ℝ3

Advances in Nonlinear Analysis
In this article, we consider the following double critical fractional Schrödinger-Poisson system involving p-Laplacian in R3{{\mathbb{R}}}^{3} of the form: εsp(−Δ)psu+V(x)∣u∣p−2u−ϕ∣u∣ps♯−2u=∣u∣ps*−2u+f(u)inR3,εsp(−Δ)sϕ=∣u∣ps♯inR3,\left\{\begin{array}{l}{\
Liang Shuaishuai, Song Yueqiang, Shi Shaoyun   +2 more
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Normalized solutions for NLS equations with general nonlinearity on compact metric graphs

Advances in Nonlinear Analysis
In this article, we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on compact metric graphs with the nonlinearity ff that is allowed to be mass-supercritical at infinity.
Zhang Peng, Zhang Jianjun
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On existence and multiplicity of solutions for a biharmonic problem with weights via Ricceri's theorem

Demonstratio Mathematica
In this work, we consider a special nondegenerate equation with two weights. We investigate multiplicity result of this biharmonic equation. Mainly, our purpose is to obtain this result using an alternative Ricceri’s theorem.
Unal Cihan
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