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Nonlinear differential inequalities and functions of compact support. (English) Zbl 0361.35029

MSC:
35J60 Nonlinear elliptic equations
35J25 Boundary value problems for second-order elliptic equations
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35B40 Asymptotic behavior of solutions to PDEs
35B45 A priori estimates in context of PDEs
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[1] H. Brezis, Solutions of variational inequalities, with compact support, Uspehi Mat. Nauk 29 (1974), no. 2 (176), 103 – 108 (Russian). Translated from the English by Ju. A. Dubinskiĭ; Collection of articles dedicated to the memory of Ivan Georgievič Petrovskiĭ (1901 – 1973), I.
[2] Norman Meyers and James Serrin, The exterior Dirichlet problem for second order elliptic partial differential equations, J. Math. Mech. 9 (1960), 513 – 538. · Zbl 0094.29701
[3] John Piepenbrink and Ray Redheffer, Nonlinear partial differential inequalities, Arch. Rational Mech. Anal. 36 (1970), 89 – 121. · Zbl 0201.13703
[4] R. M. Redheffer and E. G. Straus, Degenerate elliptic equations, Pacific J. Math. 14 (1964), 265 – 268. · Zbl 0168.36401
[5] R. M. Redheffer, Elementary remarks on problems of mixed type, J. Math. and Phys. 43 (1964), 1 – 14. · Zbl 0152.10803
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