<p>In this work, we investigate the existence of solutions for quasicritical elliptic equations involving the 1-Laplacian operator with Robin and Neumann boundary conditions. Assuming that the nonlinearity satisfies suitable hypotheses, we establish the existence of solutions using approximation techniques. To overcome the challenges associated with the lack of compactness, we employ the Vitali Convergence Theorem.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Quasicritical elliptic equation involving 1-Laplacian operator with Robin and Neumann Boundary conditions

  • Yino B. C. Carranza,
  • Marcos T. O. Pimenta,
  • Sergio Segura de León

摘要

In this work, we investigate the existence of solutions for quasicritical elliptic equations involving the 1-Laplacian operator with Robin and Neumann boundary conditions. Assuming that the nonlinearity satisfies suitable hypotheses, we establish the existence of solutions using approximation techniques. To overcome the challenges associated with the lack of compactness, we employ the Vitali Convergence Theorem.