Nonexistence results for systems of elliptic and parabolic differential inequalities in exterior domains of \(\mathbb{R}^n\)

DOI10.2140/pjm.2018.293.245zbMath1379.35163OpenAlexW2768720495MaRDI QIDQ1679935

Yuhua Sun

Publication date: 22 November 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2018.293.245

zbMATH Keywords

critical exponentsexterior domainsystem of differential inequalities

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic systems (35K51) Unilateral problems for mixed-type systems of PDEs and systems of variational inequalities with partial differential operators of mixed type (35M87)

Related Items (9)

Semilinear hyperbolic inequalities with Hardy potential in a bounded domain ⋮ Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN ⋮ Nonexistence criteria for a generalized Boussinesq-type equation in bounded and unbounded domains ⋮ Higher order evolution inequalities involving Leray–Hardy potential singular on the boundary ⋮ A wave inequality with convolution nonlinearities ⋮ A general blow-up result for a degenerate hyperbolic inequality in an exterior domain ⋮ Unnamed Item ⋮ Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains ⋮ Higher order evolution inequalities with convection terms in an exterior domain of \(\mathbb{R}^N\)

Cites Work

• Unnamed Item
• Liouville theorems for some nonlinear inequalities
• Local and global behaviour of solutions of quasilinear equations of Emden-Fowler type
• On the growing problem for semilinear heat equations
• Multidimensional nonlinear diffusion arising in population genetics
• Blow up and global existence of solutions to an inhomogeneous parabolic system
• Some Liouville theorems for quasilinear elliptic inequalities
• Blow-up results for nonlinear parabolic equations on manifolds
• A general blow-up result on nonlinear boundary-value problems on exterior domains
• On the Existence and Nonexistence of Global Solutions of Reaction-Diffusion Equations in Sectorial Domains
• Nonexistence theorems for singular solutions of quasilinear partial differential equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• On nonexistence of global solutions of some semilinear parabolic differential equations
• Nonexistence results for higher–order evolution partial differential inequalities
• Nonexistence results and estimates for some nonlinear elliptic problems

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