Olimpio Hiroshi Miyagaki

Applied Mathematics · 2001–2021

A researcher in the Science corpus: 11 papers; trusts 21 researchers and is trusted by 14 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 82 citations into it; #1,621 of 7,620 by trust here, #713 by citations
• Mathematical Physics — 52 citations into it; #5,786 of 8,562 by trust here, #2,582 by citations
• Computational Theory and Mathematics — 50 citations into it; #2,417 of 12,182 by trust here, #1,529 by citations
• Statistical and Nonlinear Physics — 8 citations into it
• Control and Systems Engineering — 6 citations into it

Whom Olimpio Hiroshi Miyagaki trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Louis Jeanjean
2. Luis Caffarelli
3. Abbas Moameni
4. Pigong Han
5. Zhi-Qiang Wang
6. Jiaquan Liu
7. X. Cabré
8. Claudianor Oliveira Alves
9. Xiaojun Chang
10. Ó. JoãoMarcosdo

Who trusts Olimpio Hiroshi Miyagaki overall

1. Nguyen Huong Lam
2. Shibo Liu
3. Dimitri Mugnai
4. G. Lu
5. Nikolaos S. Papageorgiou
6. Xiangqing Liu
7. Gabriele Bonanno
8. Leszek Gasinski
9. Claudianor Oliveira Alves
10. Mingqi Xiang

Papers from Olimpio Hiroshi Miyagaki's perspective

Ordered by how strongly the researchers Olimpio Hiroshi Miyagaki trusts endorse each paper. Same corpus, a different order for every researcher.

1. Nonlinear equations for fractional Laplacians I: Regularity, maximum principles, and Hamiltonian estimates
2. An Extension Problem Related to the Fractional Laplacian
3. Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian (Proceedings of the Royal Society of Edinburgh. Section A Mathematics)
4. Homoclinic Orbits for Asymptotically Linear Hamiltonian Systems
5. Concentrating standing waves for the fractional nonlinear Schr\"odinger equation
6. Concentrating solutions of nonlinear fractional Schrödinger equation with potentials
7. Local mountain-pass for a class of elliptic problems in RN involving critical growth
8. Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian
9. On fractional Schrödinger equation in RN with critical growth
10. Nonlinear Perturbations of a Periodic Elliptic Problem with Critical Growth

Their papers

• Superlinear problems without Ambrosetti and Rabinowitz growth condition (2008) — 228 citations
• Soliton solutions for quasilinear Schrödinger equations with critical growth (2010) — 201 citations
• On nonlinear perturbations of a periodic elliptic problem in R2 involving critical growth (2004) — 80 citations
• Existence results for nonlinear elliptic equations with Leray-Lions operator and dependence on the gradient (2014) — 66 citations
• Nonlinear Perturbations of a Periodic Elliptic Problem with Critical Growth (2001) — 81 citations
• Comparison and Positive Solutions for Problems with the (p, q)-Laplacian and a Convection Term (2014) — 95 citations
• Normalized solutions for a Schrödinger equation with critical growth in RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{documen (2021) — 125 citations
• Remarks about a fractional Choquard equation: Ground state, regularity and polynomial decay (2017) — 48 citations
• Existence and concentration of solution for a class of fractional elliptic equation in $\mathbb{R}^N$ via penalization method (2015) — 160 citations
• Sobolev spaces of symmetric functions and applications (2011) — 69 citations
• Soliton solutions for quasilinear Schrodinger equations: the critical exponential case (2007) — 110 citations