Applications of Shilnikov’s Theory to Semilinear Elliptic Equations

DOI10.1137/0520071zbMath0703.35064OpenAlexW2042689781MaRDI QIDQ3482173

Chris J. Budd

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520071

zbMATH Keywords

positive solutionscritical Sobolev exponent

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Almost and pseudo-almost periodic solutions to PDEs (35B15)

Related Items (7)

Positive solutions of elliptic equations involving supercritical growth ⋮ Singular extremal solutions for supercritical elliptic equations in a ball ⋮ Symmetry breaking and semilinear elliptic equations ⋮ Ground state in the energy super-critical Gross-Pitaevskii equation with a harmonic potential ⋮ Singular ground states of semilinear elliptic equations via invariant manifold theory ⋮ Positive solutions of super-critical elliptic equations and asymptotics ⋮ Morse index for the ground state in the energy supercritical Gross-Pitaevskii equation

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