LIFESPAN ESTIMATES FOR SOLUTIONS OF POLYHARMONIC KIRCHHOFF SYSTEMS

By G. Autuori, Francesca Colasuonno, Patrizia Pucci. 2012

67 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0ad23fb2d8674753e1a52a5d09bbc6f5dd4b9d91

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In Computational Theory and Mathematics

In Control and Systems Engineering

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Citations in the corpus

Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity (2014, background): “4) satisfies (M1)–(M3), provided that γ ∈ [1, 2 ∗ s/2) and either a = b γ if m0 = 0 and γ ∈ [1, 2], or a = m0 if m0 > 0.”
MOUNTAIN PASS SOLUTIONS FOR NONLOCAL EQUATIONS (2014, result): “[9] Autuori, G., and P. Pucci: Kirchhoff systems with nonlinear source and boundary damping terms.”
A Blow-Up Result in a Nonlinear Wave Equation with Delay (2016, background): “[2] discussed a strongly damped Kirchhoff–Love model, containing an intrinsic dissipative term of Kelvin–Voigt type, and proved a global nonexistence and a priori estimates for the life span of maximal solutions.”
On an extensible beam equation with nonlinear damping and source terms (2013, background): “Recently, Autuori, Colasuonno and Pucci [2] are concerned with the lifespan estimates for the solutions of the polyharmonic Kirchhoff systems with time-dependent nonlinear dissipation utt +M (‖DLu‖2)(− )Lu+ N(‖DL−1u‖2)(− )L−1u+μu+ Q (t, x,u,ut)= f (t, x,u), (1.”
Existence of solutions for fourth order elliptic equations of Kirchhoff type (2014, unknown): “Some results related to problems involving Kirchhoff functions in front of lower order terms are obtained in [2, 3].”
On a fractional degenerate Kirchhoff-type problem (2017, methodology): “We cite, amid the wide literature on the subject, the works [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 18, 20] where Kirchhoff-type problems (also in their stationary versions) were studied by exploiting different methods and new technical approaches.”