Two sequences of solutions for the semilinear elliptic equations with logarithmic nonlinearities

DOI10.1016/j.jde.2022.10.014zbMath1505.35185OpenAlexW4306783431MaRDI QIDQ2101059

Wei Shuai

Publication date: 28 November 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.10.014

zbMATH Keywords

variational methodsmultiplicity of solutionslogarithmic nonlinearity

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Related Items (1)

A note on a critical bi-harmonic equation with logarithmic perturbation

Cites Work

• Unnamed Item
• Unnamed Item
• Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity
• Uniqueness of positive ground state solutions of the logarithmic Schrödinger equation
• Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity
• Multiple solutions to logarithmic Schrödinger equations with periodic potential
• Existence of infinitely many solutions for the \((p, q)\)-Laplace equation
• Multi-bump solutions for logarithmic Schrödinger equations
• On Clark's theorem and its applications to partially sublinear problems
• Orbital stability of standing waves for some nonlinear Schrödinger equations
• A sign-changing solution for a superlinear Dirichlet problem
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Elliptic partial differential equations of second order
• Universal dynamics for the defocusing logarithmic Schrödinger equation
• Stability and instability of stationary solutions for sublinear parabolic equations
• Convergence from power-law to logarithm-law in nonlinear scalar field equations
• The Nehari manifold for a semilinear elliptic equation involving a sublinear term
• Minimax theorems
• A strong maximum principle for some quasilinear elliptic equations
• Existence and concentration of positive solutions for a logarithmic Schrödinger equation via penalization method
• Concentration of nodal solutions for logarithmic scalar field equations
• Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
• Multiple solutions for the semilinear elliptic equations with the sign-changing logarithmic nonlinearity
• A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
• Stable solutions of the logarithmic Schrödinger equation
• Équations d'évolution avec non linéarité logarithmique
• On an Elliptic Equation with Concave and Convex Nonlinearities
• Semi-classical states for logarithmic Schrödinger equations
• ON THE LOGARITHMIC SCHRÖDINGER EQUATION
• Multiple solutions for logarithmic Schrödinger equations
• Nonlinear boundary value problems with concave nonlinearities near the origin

This page was built for publication: Two sequences of solutions for the semilinear elliptic equations with logarithmic nonlinearities