Existence and boundary behavior of solutions for boundary blow-up quasilinear elliptic problems with gradient terms

DOI10.7153/dea-2021-13-16zbMath1499.35224OpenAlexW3208932257WikidataQ115157920 ScholiaQ115157920MaRDI QIDQ5078618

Chunlian Liu

Publication date: 23 May 2022

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2021-13-16

zbMATH Keywords

blow-upelliptic equationsquasilinearboundary behavior

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Maximum principles in context of PDEs (35B50) Blow-up in context of PDEs (35B44)

Related Items (1)

Existence and asymptotic behavior of strictly convex solutions for singular \(k\)-Hessian equations with nonlinear gradient terms

Cites Work

• Unnamed Item
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• Existence of positive solutions for the \(p\)-Laplacian with \(p\)-gradient term
• Large solutions for quasilinear elliptic equation with nonlinear gradient term
• On the inequality \(\Delta u \geqq f (u)\)
• Existence of blowup solutions for nonlinear problems with a gradient term
• Existence of large solutions for a quasilinear elliptic problem via explosive sub-supersolutions
• Boundary blow-up quasilinear elliptic problems of the Bieberbach type with nonlinear gradient terms
• Existence and multiplicity results for the \(p\)-Laplacian with a \(p\)-gradient term
• Quasilinear elliptic equations with quadratic growth in the gradient
• `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
• Classical and weak solutions of a singular semilinear elliptic problem
• Nonlinear elliptic equations with singular boundary conditions
• Boundary blow-up solutions and their applications in quasilinear elliptic equations
• Existence of entire explosive positive solutions of quasi-linear elliptic equations.
• Existence of entire explosive positive radial solutions for a class of quasilinear elliptic systems.
• Existence and nonexistence of solutions for quasilinear elliptic equations
• Elliptic partial differential equations of second order
• Elliptic equations involving the \(p\)-Laplacian and a gradient term having natural growth
• Nonradial blow-up solutions of sublinear elliptic equations with gradient term
• Explosive solutions of elliptic equations with absorption and non-linear gradient term
• A priori estimates and existence of positive solutions for strongly nonlinear problems
• Boundary blow up for semilinear elliptic equations with nonlinear gradient terms
• Large solutions of semilinear elliptic equations with a gradient term: existence and boundary behavior
• Blow-up rates and uniqueness of large solutions for elliptic equations with nonlinear gradient term and singular or degenerate weights
• A necessary and sufficient condition for existence of large solutions to semilinear elliptic equations
• Large solutions of semilinear elliptic equations with nonlinear gradient terms
• Regular variation and differential equations
• Exact boundary behavior of large solutions to semilinear elliptic equations with a nonlinear gradient term
• Existence of positive boundary blow-up solutions for quasilinear elliptic equations via sub and supersolutions
• The asymptotic behaviour of solutions with boundary blow-up for semilinear elliptic equations with nonlinear gradient terms
• Nonlinear elliptic equations having a gradient term with natural growth
• Existence of explosive positive solutions of quasilinear elliptic equations
• The existence and boundary behavior of large solutions to semilinear elliptic equations with nonlinear gradient terms
• Positive solutions for thep-Laplacian with dependence on the gradient
• Boundary blow-up solutions for elliptic equations with gradient terms and singular weights: existence, asymptotic behaviour and uniqueness
• On a familiy of torsional creep problems.
• Diffusion of Fluid in a Fissured Medium with Microstructure
• Some existence and multiplicity results for a class of quasilinear elliptic eigenvalue problems
• Invariant criteria for existence of solutions to second-order quasilinear elliptic equations
• Existence and uniqueness of positive radial solutions for a class of quasilinear elliptic equations
• Regularly varying functions

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