The existence or nonexistence of solutions for some equations involving weighted critical exponents on the unit ball

Critical exponents in context of PDEs (35B33) Second-order elliptic equations (35J15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Cites Work

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Sobolev inequalities for the Hardy-Schrödinger operator: extremals and critical dimensions
Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
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A global compactness result for the $p$-Laplacian involving critical nonlinearities
On some nonlinear equations with critical exponents
Best constant in Sobolev inequality
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Minimax theorems
Critical exponents of weighted Sobolev embeddings for radial functions
Weighted Sobolev embedding with unbounded and decaying radial potentials
Nonradial solutions for the Hénon equation in $\mathbb R^N$
Elliptic equations with critical exponent on spherical caps of $S^{3}$
Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS
Global and local behavior of positive solutions of nonlinear elliptic equations
Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, Part II
Functional Analysis
Positive radial solutions of critical Hénon equations on the unit ball in ℝN$$ {\mathbb{R}}^N $$

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