In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to investigate the existence of infinitely many weak solutions for a class of semi-linear elliptic equations with logarithmic nonlinearity arising in physically relevant situations. Furthermore, we prove that there exists a unique positive solution which is radially symmetric and nondegenerate.

On the Logarithmic Schrodinger Equation / Pietro, D'Avenia; Montefusco, Eugenio; Marco, Squassina. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - STAMPA. - 16:2(2014), pp. 1-15. [10.1142/s0219199713500326]

On the Logarithmic Schrodinger Equation

MONTEFUSCO, Eugenio;
2014

Abstract

In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to investigate the existence of infinitely many weak solutions for a class of semi-linear elliptic equations with logarithmic nonlinearity arising in physically relevant situations. Furthermore, we prove that there exists a unique positive solution which is radially symmetric and nondegenerate.
2014
logarithmic schrödinger equation; multiplicity of solutions; qualitative properties; multiplicity; existence of solutions; logarithmic schrodinger equation; existence
01 Pubblicazione su rivista::01a Articolo in rivista
On the Logarithmic Schrodinger Equation / Pietro, D'Avenia; Montefusco, Eugenio; Marco, Squassina. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - STAMPA. - 16:2(2014), pp. 1-15. [10.1142/s0219199713500326]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/518551
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