Rocky Mountain Journal of Mathematics

A class of nonlinear elliptic systems with Steklov-Neumann nonlinear boundary conditions

Juliano D.B. de Godoi, Olimpio H. Miyagaki, and Rodrigo S. Rodrigues

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We will study a class of nonlinear elliptic systems involving Steklov-Neumann boundary conditions. We obtain results ensuring the existence of solutions when resonance and nonresonance conditions occur. The results were obtained by using variational arguments.

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Rocky Mountain J. Math., Volume 46, Number 5 (2016), 1519-1545.

First available in Project Euclid: 7 December 2016

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Zentralblatt MATH identifier

Primary: 35J50: Variational methods for elliptic systems
Secondary: 35J15: Second-order elliptic equations 35J57: Boundary value problems for second-order elliptic systems 45C05: Eigenvalue problems [See also 34Lxx, 35Pxx, 45P05, 47A75]

Steklov-Neumann eigenvalue variational methods ellip­tic system


Godoi, Juliano D.B. de; Miyagaki, Olimpio H.; Rodrigues, Rodrigo S. A class of nonlinear elliptic systems with Steklov-Neumann nonlinear boundary conditions. Rocky Mountain J. Math. 46 (2016), no. 5, 1519--1545. doi:10.1216/RMJ-2016-46-5-1519.

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