The role of planar symmetry and of symmetry constraints in the proof of existence of solutions to some scalar field equations

Author:

Devillanova Giuseppe,Solimini SergioORCID

Funder

GNAMPA of the Istituto Nazionale di Alta Matematica (INdAM), Italy

Italian Ministry of Education, University and Research, Italy

MIUR – FFABR – 2017

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference20 articles.

1. Infinitely many positive solutions for nonlinear equations with non-symmetric potential;Ao;Calc. Var. Partial Differential Equations,2014

2. Harmonic Function Theory;Axler,2001

3. Nonlinear scalar field equations. I. Existence of a ground state;Berestycki;Arch. Ration. Mech. Anal.,1983

4. Infinitely many bound states for some nonlinear scalar field equations;Cerami;Calc. Var. Partial Differential Equations,2005

5. Infinitely many positive solutions to some scalar field equations with non-symmetric coefficients;Cerami;Comm. Pure Appl. Math.,2012

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