Existence of weak solutions to some stationary Schrödinger equations with singular nonlinearity

DOI10.1007/s13398-014-0165-7zbMath1309.35126arXiv1304.3389OpenAlexW1968430593MaRDI QIDQ2341001

Pascal Bégout, Jesús Ildefonso Díaz

Publication date: 21 April 2015

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3389

zbMATH Keywords

existenceuniquenessnonlinear Schrödinger equationunbounded domainssmoothnessdifferent boundary conditionsdata in weighted spacesnon local terms

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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