Rates of convergence for regression with the graph poly-Laplacian. [PDF]
Sampl Theory Signal Process Data Anal, 2023 Trillos NG, Murray R, Thorpe M.
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Asymmetric Robin Problems with Indefinite Potential and Concave Terms
Advanced Nonlinear Studies, 2019 We consider a parametric semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. In the reaction, we have the competing effects of a concave term appearing with a negative sign and of an asymmetric asymptotically ...
Papageorgiou Nikolaos S. +2 more
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An Improved Fountain Theorem and Its Application
Advanced Nonlinear Studies, 2017 The main aim of the paper is to prove a fountain theorem without assuming the τ-upper semi-continuity condition on the variational functional. Using this improved fountain theorem, we may deal with more general strongly indefinite elliptic problems with ...
Gu Long-Jiang, Zhou Huan-Song
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Existence and Multiplicity of Solutions for Resonant (p,2)-Equations
Advanced Nonlinear Studies, 2018 We consider Dirichlet elliptic equations driven by the sum of a p-Laplacian ...
Papageorgiou Nikolaos S. +2 more
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An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2022 Buccheri S, Orsina L, Ponce AC.
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Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents
Advanced Nonlinear Studies, 2018 This paper is concerned with the following type of quasilinear elliptic equations in ℝN{\mathbb{R}^{N}} involving the p-Laplacian and critical growth:
Deng Yinbin, Peng Shuangjie, Wang Jixiu
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Regularity for critical fractional Choquard equation with singular potential and its applications
Advances in Nonlinear AnalysisWe 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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Symmetric and Asymmetric Solutions of p-Laplace Elliptic Equations in Hollow Domains
Advanced Nonlinear Studies, 2018 In the present paper, we study the p-Laplace equation in a hollow symmetric bounded domain. Let H and G be closed subgroups of the orthogonal group such that H⊊G{H\varsubsetneq G}.
Kajikiya Ryuji
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A Diffusion Equation with a Variable Reaction Order
Advanced Nonlinear Studies, 2018 This paper deals with the ...
García-Melián Jorge +2 more
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Existence and Asymptotic Behavior for the Ground State of Quasilinear Elliptic Equations
Advanced Nonlinear Studies, 2018 In this paper, we are concerned with the existence and asymptotic behavior of minimizers of a minimization problem related to some quasilinear elliptic equations.
Zeng Xiaoyu, Zhang Yimin
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