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We consider an optimization problem with volume constraint for an energy functional associated to an inhomogeneous operator with nonstandard growth. By studying an auxiliary penalized problem, we prove existence and… Click to show full abstract
We consider an optimization problem with volume constraint for an energy functional associated to an inhomogeneous operator with nonstandard growth. By studying an auxiliary penalized problem, we prove existence and regularity of solution to the original problem: every optimal configuration is a solution to a one phase free boundary problem—for an operator with nonstandard growth and non-zero right hand side—and the free boundary is a smooth surface.
Keywords:
nonstandard growth;
optimization problem;
problem;
operator nonstandard
Journal Title: Discrete and Continuous Dynamical Systems
Year Published: 2021
Link to full text (if available)
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Journal Title: Discrete and Continuous Dynamical Systems
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!