Dirichlet problem for a class of nonlinear degenerate elliptic operators with critical growth and logarithmic perturbation
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Publication:6493700
DOI10.1007/S00526-024-02708-6MaRDI QIDQ6493700
Hua Chen, Ming Zhang, Xin Liao
Publication date: 29 April 2024
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Hypoelliptic equations (35H10) Semilinear elliptic equations (35J61)
Cites Work
- Uniqueness of positive ground state solutions of the logarithmic Schrödinger equation
- On semilinear \(\mathbf \Delta_\lambda\)-Laplace equation
- Multi-bump solutions for logarithmic Schrödinger equations
- Logarithmic nonlinearity in theories of quantum gravity: origin of time and observational consequences
- Asymptotic behaviour of solutions for a class of degenerate elliptic critical problems
- Best constant in Sobolev inequality
- Universal dynamics for the defocusing logarithmic Schrödinger equation
- Convergence from power-law to logarithm-law in nonlinear scalar field equations
- Hölder estimates for subelliptic operators
- Divergent operator with degeneracy and related sharp inequalities
- Two sequences of solutions for the semilinear elliptic equations with logarithmic nonlinearities
- Existence and multiplicity of solutions to Dirichlet problem for semilinear subelliptic equation with a free perturbation
- Existence of multiple solutions to semilinear Dirichlet problem for subelliptic operator
- Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
- Semilinear subelliptic problems with critical growth on Carnot groups
- Kelvin transform for Grushin operators and critical semilinear equations
- Multiple solutions for logarithmic Schrödinger equations with critical growth
- The existence of positive solution for an elliptic problem with critical growth and logarithmic perturbation
- On the Grushin operator and hyperbolic symmetry
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Sobolev Inequalities for Weighted Gradients
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Maximum Principle, Nonhomogeneous Harnack Inequality, and Liouville Theorems forX-Elliptic Operators
- On the existence of multiple solutions to boundary value problems for semilinear elliptic degenerate operators
- Sur une classe d'opérateurs elliptiques dégénérés
- ON A CLASS OF HYPOELLIPTIC OPERATORS
- [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
- Multiplicity of solutions for semilinear subelliptic Dirichlet problem
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