The Maximum Principle
By V. Boltyanski, A. Poznyak. 2012
714 citations recorded by the source corpus.
Subfields: Aerospace Engineering
View Paper: https://www.semanticscholar.org/paper/00aae14264963fc28754d875e4eb287bac5c315a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Aerospace Engineering
- Nikolaos S. Papageorgiou
- Florica Şt. Cîrstea
- Susana Merchán
- A. Trombetta
- Luigi Montoro
- Vicentiu D. Rădulescu
- Lucio Damascelli
- Calogero Vetro
Citations in the corpus
- Monotonicity and one-dimensional symmetry for solutions of −Δpu = f(u) in half-spaces (2011, background): “Since ũ ≥ 0 in RN + , by the Strong Maximum Principle (see [25,30]), it follows now that ũ > 0 or ũ = 0.”
- A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities (2010, neutral): “This concept has been introduced and developed in the book by Pucci and Serrin, see [55, Section 3.1].”
- Hopf’s lemma and constrained radial symmetry for the fractional Laplacian (2016, background): “It should be noted that Chapter 2 of [28] contains maximum, tangency and comparison principles for quasilinear and divergence structure inequalities, with a simple application to the uniqueness of the Dirichlet problem.”
- Resonant nonlinear Neumann problems with indefinite weight (2012, methodology): “By the Strong Maximum Principle (see Vazquez [42] and Pucci-Serrin [37]) the last inequality implies that u0 ∈ intC+.”
- Multiple solutions for parametric double phase Dirichlet problems (2020, methodology): “So, by the weak comparison principle (see Pucci-Serrin [15], Theorem 3.4.1, p. 61 for the space W 1 ,η 0 (Ω)), we have y ( z ) ≤ u ( z ) for all z ∈ D .”
- A Brezis-Oswald approach for mixed local and nonlocal operator (2021, neutral): “First of all, we need to prove the validity of the strong maximum principle as stated in [29], namely: if u is a nonnegative weak solution of Lp,su = f(x, u) (with zero-boundary conditions), then either u ≡ 0 in Ω or u > 0 a.”
- Nonlinear Nonhomogeneous Robin Problems with Superlinear Reaction Term (2016, methodology): “[36] P. Pucci and J. Serrin, The Maximum Principle, Birkhäuser, Basel, 2007.”