Existence and multiplicity of solutions for a class of nonlocal elliptic transmission systems. (English) Zbl 1534.34041
Summary: By using the approach based on variationnel methods and critical point theory, more precisely, the symmetric mountain pass theorem, we study the existence and multiplicity of weak solutions for a class of elliptic transmision system with nonlocal term.
MSC:
| 34B27 | Green’s functions for ordinary differential equations |
| 35B05 | Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs |
| 35J60 | Nonlinear elliptic equations |
| 35J70 | Degenerate elliptic equations |
Keywords:
nonlinear elliptic systems; \(p(x)\)-Kirchhoff-type problems; transmission elliptic system; mountain pass theoremReferences:
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