On a Sobolev-type inequality and its minimizers

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Critical exponents in context of PDEs (35B33) Variational methods for higher-order elliptic equations (35J35) Semilinear elliptic equations (35J61)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
On electromagnetic wave propagation in fractional space
Sobolev spaces of symmetric functions and applications
The concentration-compactness principle in the calculus of variations. The limit case. I
The concentration-compactness principle in the calculus of variations. The limit case. II
Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
Best constant in Sobolev inequality
Quasilinear elliptic equations with critical exponents
Minimax theorems
Singular minimization problems
On a weighted Trudinger-Moser inequality in \(\mathbb{R}^N\)
On a class of quasilinear elliptic problems with critical exponential growth on the whole space
Hardy-Sobolev type inequality and supercritical extremal problem
Electromagnetic fields and waves in fractional dimensional space
Critical exponents, critical dimensions and the biharmonic operator
Equations of motion in a non-integer-dimensional space
Concentration-compactness and extremal problems for a weighted Trudinger–Moser inequality
Trudinger-Moser type inequalities for weighted Sobolev spaces involving fractional dimensions
The best sobolev constant
Axiomatic basis for spaces with noninteger dimension
On the global L∞→BMO mapping property for Fourier integral operators
Boundedness and compactness of commutators associated with Lipschitz functions
A Sharp Adams-Type Inequality for Weighted Sobolev Spaces
On a sharp inequality of Adimurthi-Druet type and extremal functions
Equivalence of critical and subcritical sharp Trudinger-Moser inequalities in fractional dimensions and extremal functions
Sharp Sobolev and Adams-Trudinger-Moser embeddings on weighted Sobolev spaces and their applications