Mean Values of Subsolutions of Elliptic and Parabolic Equations
Copyright policy )Mean Values of Subsolutions of Elliptic and Parabolic Equations
Integral averages of weak subsolutions (and supersolutions) in R n {R^n} of quasilinear elliptic and parabolic equations are investigated. The important feature is that these integral averages are defined in terms of measures that reflect interesting geometric phenomena. Harnack type inequalities are established in terms of these integral averages.
quasilinear parabolic equation, quasilinear elliptic equation, weak Harnack inequalities, Nonlinear parabolic equations, Nonlinear elliptic equations, Integral averages, Maximum principles in context of PDEs, weak subsolutions
quasilinear parabolic equation, quasilinear elliptic equation, weak Harnack inequalities, Nonlinear parabolic equations, Nonlinear elliptic equations, Integral averages, Maximum principles in context of PDEs, weak subsolutions
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