The work characterizes open continuous homomorphisms of locally compact groups such that pushforwards of compactly supported distribution symbols of L^p-L^q Fourier multipliers remain symbols of the same type.
A New Poincaré Inequality and Its Application to the Regularity of Minimizers of Integral Functionals with Nonstandard Growth
3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Minimizers of strongly A-quasiconvex variational problems with linear growth are partially continuous.
Establishes local and global existence of solutions to the semilinear damped wave equation with polynomial nonlinearity for slowly decaying non-L2 initial data via L^p-L^q estimates and fractional Leibniz rule in homogeneous Besov spaces.
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On a theorem of M. Jodeit Jr. on pushforwards of Fourier multipliers
The work characterizes open continuous homomorphisms of locally compact groups such that pushforwards of compactly supported distribution symbols of L^p-L^q Fourier multipliers remain symbols of the same type.
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Partial regularity for $\mathscr{A}$-quasiconvex variational problems of linear growth
Minimizers of strongly A-quasiconvex variational problems with linear growth are partially continuous.
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Existence of solutions to the semilinear damped wave equation with non-$L^2$ slowly decaying data : polynomial nonlinearity case
Establishes local and global existence of solutions to the semilinear damped wave equation with polynomial nonlinearity for slowly decaying non-L2 initial data via L^p-L^q estimates and fractional Leibniz rule in homogeneous Besov spaces.