A system of wave inequalities with inverse-square potentials in an exterior domain

DOI10.1080/00036811.2023.2210154MaRDI QIDQ6607954

Areej Bin Sultan, Bessem Samet, Mohamed Jleli

Publication date: 19 September 2024

Published in: Applicable Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Partial differential inequalities and systems of partial differential inequalities (35R45) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Cites Work

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• Existence and nonexistence results for higher-order semilinear evolution inequalities with critical potential
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• Nonexistence of distributional supersolutions of a semilinear elliptic equation with Hardy potential
• Quasilinear elliptic problem with Hardy potential and singular term
• On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain
• Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains
• Weak solutions of semilinear elliptic equations with Leray-Hardy potentials and measure data
• A remark on the existence properties of a semilinear heat equation involving a Hardy-Leray potential
• On a semilinear elliptic equation with inverse-square potential
• A general blow-up result on nonlinear boundary-value problems on exterior domains
• The Heat Equation with a Singular Potential
• Influence of the Hardy potential in a semilinear heat equation
• Some results for semilinear elliptic equations with critical potential
• Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier
• The absence of global positive solutions to semilinear parabolic differential inequalities in exterior domain

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Existence and nonexistence results for higher order evolution inequalities posed outside the half-ball

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