带有非线性边界条件的非齐次拟线性椭圆型方程组的多解性

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Multiple Solutions for a Class of Quasilinear Nonhomogeneous Elliptic Systems with Nonlinear Boundary Conditions

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Abstract:

In this paper, we study the existence and multiplicity of nontrivial solutions for a class of quasilinear elliptic systems involving nonhomogeneous nonlinearities and nonlinear boundary conditions. By using the Mountain Pass Theorem and the Ekeland's variational principle, we prove that the system has at least two nontrivial solutions when the parameter λ belongs to a certain subset of R.

Key words: Existence, Multiplicity, Nonhomogeneous, Nonlinear boundary conditions

CLC Number:

O175.2

Li Qin, Yang Zuodong. Multiple Solutions for a Class of Quasilinear Nonhomogeneous Elliptic Systems with Nonlinear Boundary Conditions[J].Acta mathematica scientia,Series A, 2016, 36(2): 307-316.

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