Results 21 to 30 of about 72 (72)
Existence and multiplicity of solutions for a class of superlinear p-Laplacian equations
Advances in Nonlinear AnalysisIn this work, we investigate a class of pp-Laplacian equations with the Dirichlet boundary condition. Under some new conditions, the existence and multiplicity of nontrivial solutions are proved by means of the variational methods.
Zhao Tai-Jin, Li Chun
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Construction of Solutions for Hénon-Type Equation with Critical Growth
Advanced Nonlinear Studies, 2021 We consider the following Hénon-type problem with critical growth:
Guo Yuxia, Liu Ting
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Resolvent and Scattering Matrix at the Maximum of the Potential [PDF]
, 2008 2000 Mathematics Subject Classification: 35P25, 81U20, 35S30, 47A10, 35B38.We study the microlocal structure of the resolvent of the semiclassical Schrödinger operator with short range potential at an energy which is a unique non-degenerate global ...
Ramond, Thierry +2 more
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Advanced Nonlinear StudiesThe existence of L 2–normalized solutions is studied for the equation −Δu+μu=f(x,u) inRN,∫RNu2dx=m. $-{\Delta}u+\mu u=f\left(x,u\right)\quad \quad \text{in} {\mathbf{R}}^{N},\quad {\int }_{{\mathbf{R}}^{N}}{u}^{2} \mathrm{d}x=m.$ Here m > 0 and f(x, s)
Ikoma Norihisa, Yamanobe Mizuki
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Nontrivial Solutions for Potential Systems Involving the Mean Curvature Operator in Minkowski Space
Advanced Nonlinear Studies, 2017 In this paper, we use the critical point theory for convex, lower semicontinuous perturbations of C1{C^{1}}-functionals to obtain the existence of multiple nontrivial solutions for one parameter potential systems involving the operator u↦div(∇u1-|∇u|2)
Gurban Daniela +2 more
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Large Energy Bubble Solutions for Schrödinger Equation with Supercritical Growth
Advanced Nonlinear Studies, 2021 We consider the following nonlinear Schrödinger equation involving supercritical growth:
Guo Yuxia, Liu Ting
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On the solvability of discrete nonlinear Neumann problems involving the
Advances in Difference Equations, 2011 In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
Ouaro Stanislas +2 more
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On fractional logarithmic Schrödinger equations
Advanced Nonlinear Studies, 2022 We study the following fractional logarithmic Schrödinger equation: (−Δ)su+V(x)u=ulogu2,x∈RN,{\left(-\Delta )}^{s}u+V\left(x)u=u\log {u}^{2},\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N≥1N\ge 1, (−Δ)s{\left(-\Delta )}^{s} denotes the fractional Laplace ...
Li Qi, Peng Shuangjie, Shuai Wei
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Asymptotic properties of critical points for subcritical Trudinger-Moser functional
Advanced Nonlinear Studies, 2023 On a smooth bounded domain we study the Trudinger-Moser functional Eα(u)≔∫Ω(eαu2−1)dx,u∈H1(Ω){E}_{\alpha }\left(u):= \mathop{\int }\limits_{\Omega }({e}^{\alpha {u}^{2}}-1){\rm{d}}x,\hspace{1.0em}u\in {H}^{1}\left(\Omega ) for α∈(0,2π)\alpha \in \left(0 ...
Hashizume Masato
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Demonstratio MathematicaThe paper intends to prove the existence of multiple normalized solutions for the critical Kirchhoff–Choquard equation, and the main feature of our paper is the simultaneous appearance of critical term, nonlocal term, and potential function, which will ...
Liang Sihua, Pu Hongling, Zhang Xin
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