A class of supercritical Sobolev type inequalities with logarithm and related elliptic equations
DOI10.1016/j.jde.2022.09.010OpenAlexW4296772074MaRDI QIDQ2109352
Shuangjie Peng, Yang Zhou, Yinbin Deng, Xinyue Zhang
Publication date: 21 December 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.09.010
Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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Cites Work
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- Ground states of critical and supercritical problems of Brezis-Nirenberg type
- Multiple solutions to logarithmic Schrödinger equations with periodic potential
- On supercritical Sobolev type inequalities and related elliptic equations
- Lebesgue and Sobolev spaces with variable exponents
- Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
- A solution to a slightly subcritical elliptic problem with non-power nonlinearity
- Functional analysis, Sobolev spaces and partial differential equations
- Best constant in Sobolev inequality
- Nodal solutions for \(p\)-Laplace equations with critical growth.
- Multi-peak solutions for super-critical elliptic problems in domains with small holes
- Sign-changing bubble tower solutions for the supercritical Hénon-type equations
- Nodal solutions for a supercritical semilinear problem with variable exponent
- Convergence from power-law to logarithm-law in nonlinear scalar field equations
- Minimax theorems
- Supercritical Moser-Trudinger inequalities and related elliptic problems
- Achievability of a supremum for the Hardy-Littlewood-Sobolev inequality with supercritical exponent
- Existence and concentration of positive solutions for a logarithmic Schrödinger equation via penalization method
- Bound states for logarithmic Schrödinger equations with potentials unbounded below
- Concentration of nodal solutions for logarithmic scalar field equations
- A supercritical Sobolev type inequality in higher order Sobolev spaces and related higher order elliptic problems
- Supercritical elliptic problems in domains with small holes
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- High-energy solutions for a nonlinear elliptic problem with slightly supercritical exponent
- A First Course in Sobolev Spaces
- Semi-classical states for logarithmic Schrödinger equations
- Existence and multiplicity of solutions for logarithmic Schrödinger equations with potential
- Singularly Perturbed Methods for Nonlinear Elliptic Problems
- A monotone property of the ground state energy to the scalar field equation and applications
- Multiple solutions for logarithmic Schrödinger equations
- Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)
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