Explosive solutions of elliptic equations with absorption and non-linear gradient term

DOI10.1007/BF02829796zbMath1032.35070OpenAlexW2021385124MaRDI QIDQ1857384

Vicenţiu D. Rădulescu, Marius Ghergu, Constantin P. Niculescu

Publication date: 17 February 2003

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02829796

zbMATH Keywords

maximum principlesemilinear elliptic problementire solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (25)

Boundary blow-up quasilinear elliptic problems with nonlinear gradient terms ⋮ Existence and boundary behavior of solutions for boundary blow-up quasilinear elliptic problems with gradient terms ⋮ Large solutions for quasilinear elliptic equation with nonlinear gradient term ⋮ Existence of blowup solutions for nonlinear problems with a gradient term ⋮ Solvability of nonlinear elliptic equations with gradient terms ⋮ Biharmonic elliptic problems with second Hessian and gradient nonlinearities ⋮ Classification of radial solutions for semilinear elliptic systems with nonlinear gradient terms ⋮ Existence and boundary behaviour of radial solutions for weighted elliptic systems with gradient terms ⋮ Entire blow-up solutions of semilinear elliptic systems with quadratic gradient terms ⋮ Existence of blow-up solutions for a non-linear equation with gradient term in \(\mathbb R^N\) ⋮ Keller-Osserman type conditions for differential inequalities with gradient terms on the Heisenberg group ⋮ Blow-up rates and uniqueness of large solutions for elliptic equations with nonlinear gradient term and singular or degenerate weights ⋮ Large solution to nonlinear elliptic equation with nonlinear gradient terms ⋮ Existence of entire positive solutions for semilinear elliptic systems with gradient term ⋮ Keller-Osserman type conditions for some elliptic problems with gradient terms ⋮ Existence of large solutions for a quasilinear elliptic problem via explosive sub-supersolutions ⋮ Coercive elliptic systems with gradient terms ⋮ Estimates for blow-up solutions to nonlinear elliptic equations with \(p\)-growth in the gradient ⋮ The asymptotic behaviour of solutions with boundary blow-up for semilinear elliptic equations with nonlinear gradient terms ⋮ A boundary blow-up for a class of quasilinear elliptic problems with a gradient term ⋮ Asymptotic Behaviour of the Gradient of Large Solutions to Some Nonlinear Elliptic Equations ⋮ The existence and nonexistence of entire positive solutions of semilinear elliptic systems with gradient term ⋮ Existence of large solutions for quasilinear elliptic problems with a gradient term ⋮ Existence of blow-up solutions of semilinear elliptic problems ⋮ On entire solutions of degenerate elliptic differential inequalities with nonlinear gradient terms

Cites Work

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• Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem
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• Entire solution of a singular semilinear elliptic problem
• Large solutions of semilinear elliptic equations with nonlinear gradient terms
• EXISTENCE AND UNIQUENESS OF BLOW-UP SOLUTIONS FOR A CLASS OF LOGISTIC EQUATIONS
• On solutions of δu=f(u)
• Blow-up for semilinear parabolic equations with a gradient term
• Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness
• Blow-up boundary solutions of semilinear elliptic problems

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