Multiple solutions of some semilinear elliptic equations via the generalized Conley index
From MaRDI portal
Publication:1892510
DOI10.1006/jmaa.1995.1054zbMath0834.35049OpenAlexW2054435180MaRDI QIDQ1892510
Publication date: 19 July 1995
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1995.1054
Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)
Related Items (16)
Exact multiplicity of solutions to superlinear and sublinear problems ⋮ Sign Changing Solutions of Superlinear Schrödinger Equations ⋮ Ljusternik-Schnirelman theory in partially ordered Hilbert spaces ⋮ On bifurcation, critical groups and exact multiplicity of solutions to semilinear elliptic boundary value problems ⋮ Multiplicity of solutions of semilinear elliptic boundary value problems with jumping nonlinearities at zero ⋮ A note on multiple solutions of some semilinear elliptic problems ⋮ On a superlinear elliptic \(p\)-Laplacian equation. ⋮ A semilinear elliptic equation with double resonance ⋮ Sign-changing solutions of nonlinear elliptic equations ⋮ Multiple sign-changing solutions to semilinear elliptic resonant problems ⋮ Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations ⋮ Bifurcation from semitrivial solution bundles and applications to certain equation systems ⋮ Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities ⋮ Sign-changing solutions and multiplicity results for elliptic problems via lower and upper solutions ⋮ Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary-value problems with resonance at inifinity ⋮ Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity.
This page was built for publication: Multiple solutions of some semilinear elliptic equations via the generalized Conley index