Elliptic problem driven by different types of nonlinearities

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be proved. Here $\mu>0$. we will show the existence of a nontrivial solution at a certain mountain pass level and another ground state solution when the nonlinearity is of exponential critical growth. [2/2 of https://t.co/KEZuLfRaDN]

The existence and multiplicity of nontrivial solutions to the following problem \begin{align*} \begin{split} (-\Delta)^{\frac{1}{2}}u+u+(\ln|\cdot|*|u|^2)&=f(u)+\mu|u|^{-\gamma-1}u,~\text{in}~\mathbb{R} \end{split} \end{align*} will [1/2 of https://t.c

Debajyoti Choudhuri: Elliptic problem involving a Choquard logarithmic term, singularity and a nonlinearity with exponential critical growth https://t.co/GhrtqyXVQe https://t.co/njZD9OszFA