Radial singular solutions of a critical problem in a ball

zbMath1161.35387MaRDI QIDQ1850169

Mythily Ramaswamy, Jean Dolbeault, Maria J. Esteban

Publication date: 10 December 2002

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: http://math.tifrbng.res.in/~mythily/file_ps/der.pdf

zbMATH Keywords

multiplicitycritical exponentsoscillatory solutionsbifurcationssemilinear elliptic equationnodal solutionsremovable singularitiesbranches

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Bifurcation theory for ordinary differential equations (34C23) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (7)

Geometry of phase space and solutions of semilinear elliptic equations in a ball ⋮ Singular extremal solutions for supercritical elliptic equations in a ball ⋮ Singular solutions for semilinear elliptic equations with general supercritical growth ⋮ Distributional solutions of the stationary nonlinear Schrödinger equation: singularities, regularity and exponential decay ⋮ Fundamental properties and asymptotic shapes of the singular and classical radial solutions for supercritical semilinear elliptic equations ⋮ Behavior of positive unbounded solutions for a class of nonhomogeneous \(p\)-Laplacian like equations ⋮ Existence of non-degenerate continua of singular radial solutions for several classes of semilinear elliptic problems

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