## Rocky Mountain Journal of Mathematics

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

#### Abstract

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.

#### Article information

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

Dates
First available in Project Euclid: 7 December 2016

https://projecteuclid.org/euclid.rmjm/1481101223

Digital Object Identifier
doi:10.1216/RMJ-2016-46-5-1519

Mathematical Reviews number (MathSciNet)
MR3580798

Zentralblatt MATH identifier
1360.35064

#### Citation

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. https://projecteuclid.org/euclid.rmjm/1481101223

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