Landesman-Lazer type conditions for a system of p-Laplacian like operators |
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| Authors: | Pablo Amster Pablo De Nápoli |
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| Institution: | a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
b Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina |
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| Abstract: | We study the existence of periodic solutions for a nonlinear second order system of ordinary differential equations of p-Laplacian type. Assuming suitable Nagumo and Landesman-Lazer type conditions we prove the existence of at least one solution applying topological degree methods. We extend a celebrated result by Nirenberg for resonant systems. |
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| Keywords: | p-Laplacian systems Landesman-Lazer conditions |
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