Olı́mpio H. Miyagaki

Elliptic equations in R2 with nonlinearities in the critical growth range

Djairo G. de Figueiredo, Olı́mpio H. Miyagaki, Bernhard Ruf · Calculus of Variations and Partial Differential Equations · 1995 · 430 citations

Monge-ampere Equation, Elliptic Equation, Physics +5

Superlinear problems without Ambrosetti and Rabinowitz growth condition

Olı́mpio H. Miyagaki, Marco A. S. Souto · Journal of Differential Equations · 2008 · 203 citations · Full text

Geometric Singular Perturbation Theory, Global Analysis, Superlinear Problems

Soliton solutions for quasilinear Schrödinger equations with critical growth

João Marcos do Ó, Olı́mpio H. Miyagaki, Sérgio H. Monari Soares · Journal of Differential Equations · 2009 · 169 citations · Full text

Physics, Topological Soliton, Quasilinear Schrödinger Equations +2

Existence and concentration of solution for a class of fractional elliptic equation in $$\mathbb {R}^N$$ R N via penalization method

Claudianor O. Alves, Olı́mpio H. Miyagaki · Calculus of Variations and Partial Differential Equations · 2016 · 160 citations

Numerical Analysis, Monge-ampere Equation, Elliptic Equation +5

Normalized solutions for a Schrödinger equation with critical growth in $${\mathbb {R}}^{N}$$

Claudianor O. Alves, Chao Ji, Olı́mpio H. Miyagaki · Calculus of Variations and Partial Differential Equations · 2021 · 115 citations

Spectral Theory, Critical Phenomenon, Physics +5