Radial solutions of a semilinear elliptic equation at a critical exponent

DOI10.1007/BF00281356zbMath0679.35033OpenAlexW1979886387WikidataQ57919742 ScholiaQ57919742MaRDI QIDQ1822688

Christopher K. R. T. Jones

Publication date: 1988

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00281356

zbMATH Keywords

critical exponentsemilinear elliptic equationnon-positive solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Qualitative properties of solutions to partial differential equations (35B99)

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Nodal bubble-tower solutions for a semilinear elliptic problem with competing powers, Oscillatory radial solutions of semilinear elliptic equations, Existence of the vortex solutions of some semilinear elliptic equations, Infinitely many radial solutions to a boundary value problem in a ball, Nodal solutions of elliptic equations with critical Sobolev exponents, Planar radial spots in a three-component FitzHugh-Nagumo system, Non-existence of nodal solution for \(m\)-Laplace equation involving critical Sobolev exponents, Nonexistence of nodal solutions of nonlinear elliptic equations.

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Symmetry and related properties via the maximum principle
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On the Infinitely Many Solutions of a Semilinear Elliptic Equation
• Emden-Fowler equations involving critical exponents
• Variational and topological methods in nonlinear problems