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ABSTRACT In this paper, we consider the -Laplacian equation where is an odd increasing homeomorphism from onto which is not necessarily differentiable. The term is a suitable parameter and g… Click to show full abstract
ABSTRACT In this paper, we consider the -Laplacian equation where is an odd increasing homeomorphism from onto which is not necessarily differentiable. The term is a suitable parameter and g is measurable. We prove that nontrivial and nonnegative weak solutions of this equation exist. The problem on the local boundedness of the solutions is also treated. Mild restrictions are imposed on g and .
Keywords:
local boundedness;
existence local;
solutions laplacian;
boundedness solutions;
problem
Journal Title: Applicable Analysis
Year Published: 2019
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Journal Title: Applicable Analysis
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!