Radially Symmetric Solutions to a Dirichlet Problem Involving Critical Exponents

DOI10.2307/2154749zbMath0804.35039OpenAlexW4246599358MaRDI QIDQ4305932

Alfonso Castro, Alexandra Kurepa

Publication date: 15 January 1995

Full work available at URL: https://doi.org/10.2307/2154749

zbMATH Keywords

critical exponentradially symmetric solutionssemilinear elliptic equationphase-plane analysissolution multiplicity

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Bifurcations in context of PDEs (35B32)

Related Items

Bifurcation theory and radial solutions to elliptic boundary value problems ⋮ Radial Solutions to a Dirichlet Problem Involving Critical Exponents when 𝑁=6 ⋮ Positive solutions for a semilinear elliptic problem with critical exponent ⋮ Existence of non-degenerate continua of singular radial solutions for several classes of semilinear elliptic problems ⋮ Classification of radial solutions arising in the study of thermal structures with thermal equilibrium or no flux at the boundary ⋮ Nonexistence of nodal solutions of nonlinear elliptic equations. ⋮ A priori bounds and multiplicity of positive solutions for p-Laplacian Neumann problems with sub-critical growth

Cites Work

• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• The Cauchy-Kowalewskaya theorem
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• Bifurcation from simple eigenvalues
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Infinitely Many Radially Symmetric Solutions to a Superlinear Dirichlet Problem in a Ball
• Radially Symmetric Solutions to a Superlinear Dirichlet Problem in a Ball With Jumping Nonlinearities
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