On the number of positive symmetric solutions of a nonautonomous semilinear elliptic problem

DOI10.1016/S0362-546X(98)00354-XzbMath0961.35055MaRDI QIDQ1582113

Mónica Clapp

Publication date: 15 May 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

semilinear elliptic equationsmultiple positive symmetric solutionsnonautonomous elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

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The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with a magnetic field ⋮ A relation between the domain topology and the number of minimal nodal solutions for a quasilinear elliptic problem ⋮ A note on the number of nodal solutions of an elliptic equation with symmetry ⋮ Multiple minimal nodal solutions for a quasilinear Schrödinger equation with symmetric potential ⋮ On the number of solutions of NLS equations with magnetics fields in expanding domains ⋮ MULTIPLE SOLUTIONS OF NONHOMOGENEOUS ELLIPTIC EQUATIONS WITH CRITICAL NONLINEARITY ON SYMMETRIC DOMAINS

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