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Existence of Infinitely Many Solutions for the P-Laplacian Equations with Nonlinear Boundary Conditions

Excerpt

Consider the p-Laplacian equations on a bounded smooth domain RN with nonlinear boundary conditions as follows:

Δpu+|u|p2u=f(x,u)xΩ|u|p2uγ=g(x,u)onΩ.

Existence of infinitely many solutions is obtained under some assumptions.

  • Abstract
  • Keywords:
  • Introduction
  • The Main Results and Proof
  • Acknowledgments
  • References

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