Results 11 to 20 of about 458 (89)
Multiple positive solutions for a class of Kirchhoff type equations with indefinite nonlinearities
Advances in Nonlinear Analysis, 2021 We study the following Kirchhoff type equation:
Che Guofeng, Wu Tsung-fang
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On a Kirchhoff Equation in Bounded Domains
Advanced Nonlinear Studies, 2018 In this paper, we consider the following Kirchhoff equation:
Huang Yisheng, Wu Yuanze
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Advances in Nonlinear Analysis, 2022 This paper is concerned with existence and concentration properties of ground-state solutions to the following fractional Choquard equation with indefinite potential: (−Δ)su+V(x)u=∫RNA(εy)∣u(y)∣p∣x−y∣μdyA(εx)∣u(x)∣p−2u(x),x∈RN,{\left(-\Delta )}^{s}u+V ...
Zhang Wen, Yuan Shuai, Wen Lixi
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Shooting with degree theory: Analysis of some weighted poly-harmonic systems [PDF]
, 2014 In this paper, the author establishes the existence of positive entire solutions to a general class of semilinear poly-harmonic systems, which includes equations and systems of the weighted Hardy--Littlewood--Sobolev type.
Villavert, John
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Advances in Nonlinear Analysis, 2020 We study positive solutions to the fractional Lane-Emden ...
Bhakta Mousomi, Nguyen Phuoc-Tai
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Advanced Nonlinear Studies, 2023 In our previous paper [K. Ishige, S. Okabe, and T. Sato, A supercritical scalar field equation with a forcing term, J. Math. Pures Appl. 128 (2019), pp.
Ishige Kazuhiro +2 more
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A system of equations involving the fractional p-Laplacian and doubly critical nonlinearities
Advanced Nonlinear Studies, 2023 This article deals with existence of solutions to the following fractional pp-Laplacian system of equations: (−Δp)su=∣u∣ps*−2u+γαps*∣u∣α−2u∣v∣βinΩ,(−Δp)sv=∣v∣ps*−2v+γβps*∣v∣β−2v∣u∣αinΩ,\left\{\begin{array}{l}{\left(-{\Delta }_{p})}^{s}u={| u| }^{{p}_{s}^{
Bhakta Mousomi +2 more
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Existence of groundstates for a class of nonlinear Choquard equations [PDF]
, 2012 We prove the existence of a nontrivial solution (u \in H^1 (\R^N)) to the nonlinear Choquard equation [- \Delta u + u = \bigl(I_\alpha \ast F (u)\bigr) F' (u) \quad \text{in (\R^N),}] where (I_\alpha) is a Riesz potential, under almost necessary ...
Jean, Van Schaftingen, Vitaly Moroz
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Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions [PDF]
, 2017 For $1p$. We use the shooting method to get existence and multiplicity of non-constant radial solutions. With the same technique, we also detect the oscillatory behavior of the solutions around the constant solution $u\equiv1$.
Boscaggin, Alberto +2 more
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