[PDF] Top 20 Existence of solution for a singular elliptic equation with critical Sobolev Hardy exponents
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Existence of solution for a singular elliptic equation with critical Sobolev Hardy exponents
... nontrivial solution under certain conditions for λ and ...semilinear elliptic equation ...sign-changing solution under some conditions for µ, ... See full document
11
Compatibility conditions for the existence of weak solutions to a singular elliptic equation
... h(x) > 0 almost everywhere in , k ∈ L ∞ ( ) is nonnegative, p > 2, α > 1 and β ∈ (0, p – 1). A compatibility condition on the couple (h(x), α ) is given for the problem to have at least one solution. More ... See full document
11
A nonlinear p-Laplace equation with critical Sobolev-Hardy exponents and Robin boundary conditions
... p-Laplace equation with critical Sobolev-Hardy exponents and Robin boundary ...the existence of positive solutions for this problem under different ... See full document
27
Existence result for semilinear elliptic systems involving critical exponents
... the existence of a positive solution for a class of semilinear systems of multi-singular elliptic equations which involve Sobolev critical ...positive solution for the ... See full document
14
Positive symmetric results for a weighted quasilinear elliptic system with multiple critical exponents in \(\mathbb{R}^{N}\)
... of singular elliptic equations with critical nonlinearities, various studies concerning the existence and multiplicity of nontrivial solutions have also been presented in the last decades (see ... See full document
21
Existence and multiplicity of positive solutions to a perturbed singular elliptic system deriving from a strongly coupled critical potential
... semilinear elliptic systems have been studied extensively and many conclusions have been ...an elliptic system and some important conclusions had been ...the elliptic systems involving the ... See full document
14
Quasilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents: nontrivial solutions
... positive solution and two nontrivial solutions of a quasilinear elliptic equation with p-Laplacian, Hardy term and Hardy-Sobolev critical exponent by using variational ... See full document
11
Bifurcation of Gradient Mappings Possessing the Palais Smale Condition
... The existence of the bifurcation branch and the asymptotic nature of the bifurcation is verified by using the compactness in the Palais Smale condition and the order of the nonlinearity in the ...semilinear ... See full document
15
On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli Kohn Nirenberg inequality in \(\mathbb{R}^{N}\)
... The critical growth in elliptic problems has been extensively studied in the last decades, starting with the seminal paper ...the singular potentials and critical exponents, we would ... See full document
22
Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents
... where N > , ≤ μ < ( N – ) , ≤ s < , ∗ (s) (N N– –s) and ∗ () = ∗ N N – , and K fulfills some symmetry conditions with respect to a subgroup G of O(N). Applying variational methods and ... See full document
19
Solutions for the quasi linear elliptic problems involving the critical Sobolev exponent
... have been obtained, which provide us opportunities to understand the singular problems. However, compared with the semilinear case, the quasi-linear problems related to Hardy inequality are more complicated ... See full document
20
Multiple positive solutions for quasilinear elliptic problems with combined critical Sobolev–Hardy terms
... methods and the results crucially depend on the parameters p, q, t, λ, and μ. In [17], Liang consider problem (2) with K(x) = 1 and derived the existence of infinitely many small solutions by using the ... See full document
19
Existence of multiple solutions for a quasilinear Neumann problem with critical exponent
... Laplacian elliptic equation with critical Sobolev exponent was Po- hozaev [1], the author established the nonexistence of nontrivial solution to the Dirichlet problems when is a ... See full document
17
Existence of solutions for perturbed elliptic system with critical exponents
... Oh, YG: Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class (V) 2.. Commun.[r] ... See full document
13
Positive Radial Solutions for a Class of Semilinear Elliptic Problems Involving Critical Hardy Sobolev Exponent and Hardy Terms
... semilinear elliptic eq- uations which are perturbation of the problems involving critical Hardy-So- bolev exponent and Hardy singular ...The existence of at least a positive ... See full document
13
25. On a class of quasilinear elliptic systems in rn involving critical sobolev exponents
... Our aim is to find the condition of the above theorem. The fixed points of the set- valued mapping S are precisely the weak solutions of system (1.1). In other words, we state the existence of a pair (u, v) ∈ Z ... See full document
7
Existence of solutions for a family of polyharmonic and biharmonic equations
... any solution if (n + 2)/(n − 2) < ...the existence or nonexistence of solutions in this case are mountain-pass lemma and Pohozaev identity, respectively; see [4, Sections ...the critical ... See full document
13
On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in \(R^{N}\)
... the existence, nonexis- tence as well as qualitative properties of nontrivial solutions to critical elliptic problems of second ...the elliptic problems involving singular potentials ... See full document
21
Positive symmetric solutions for a class of critical quasilinear elliptic problems in RN
... the existence and multiplicity of G-symmetric solutions of ...the existence of nontrivial radial solutions for a class of quasilinear singular equations such as ... See full document
18
Existence and multiplicity of positive solutions for p-Laplacian elliptic equations
... p-Laplacian elliptic equation with Hardy term and Hardy-Sobolev critical exponent, where the nonlinearity is (p – 1)-sublinear near zero and (p ∗ (s) – 1)-sublinear near infinity ... See full document
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