Abstract:We make use of variational methods to prove the existence of at least one positive radial increasing weak solution to a Leray–Lions type problem under Steklov boundary conditions.
“…We point out that our approaches also fit with slightly different versions of the problem ( P ), e.g., with p(x)-Laplacian operator or the Heisenberg p-Laplacian operator or even the weighted Heisenberg p-Laplacian operator on the left hand side. Interested reader can see more details in [18,19,[26][27][28][29][30][31][32] and the references therein.…”
We are concerned with the existence and multiplicity of weak solutions for a general form of a $$(p_1, \ldots ,p_n)$$
(
p
1
,
…
,
p
n
)
-Laplacian elliptic problem including singular terms. Our approaches are mainly based on critical points theory.
“…We point out that our approaches also fit with slightly different versions of the problem ( P ), e.g., with p(x)-Laplacian operator or the Heisenberg p-Laplacian operator or even the weighted Heisenberg p-Laplacian operator on the left hand side. Interested reader can see more details in [18,19,[26][27][28][29][30][31][32] and the references therein.…”
We are concerned with the existence and multiplicity of weak solutions for a general form of a $$(p_1, \ldots ,p_n)$$
(
p
1
,
…
,
p
n
)
-Laplacian elliptic problem including singular terms. Our approaches are mainly based on critical points theory.
“…See some examples in [3,4,6,11,12,13] and the references therein. We point out that the authors have probed some problems as special case of the problem (P) (see [16,17,18,19,20]).…”
Here, the existence and multiplicity of weak solutions to a generalized (p(·), q(·))-Laplace equation involving the Leray-Lions type operators with Hardy potential are studied under the Dirichlet boundary conditions on the Heisenberg groups.
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